If a ball is thrown into the air with a velocity of 45 ft/s, its height in feet after t seconds is given by y=45t-15t2. Find the instantaneous velocity when t=4

Answers

Answer 1

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

What is the instantaneous velocity when t=4?

Given that;

Initial velocity = 45ft/sHeight in feet after t seconds is given by y = 45t - 15t² Instantaneous velocity = ?

First, we determine the derivative of y = 45t - 15t²

y' = (1)45 - (2)15t

y' = 45 - 30t

We substitute in t = 4

y' = 45 - 30t

y' = 45 - 30(4)

y' = 45 - 120

y' = -75ft/s

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

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Related Questions

Which statement correctly describes mass-energy equivalence? All energy in the universe will be converted to an equivalent amount of mass. Mass can decrease in nuclear changes without the production of energy. All energy in the universe is a result of mass being converted into energy. A large amount of mass is equivalent to a small amount of energy.

Answers

The statement 'all energy in the universe is a result of mass being converted into energy' correctly describes mass-energy equivalence.

What is mass-energy equivalence?

The expression mass-energy equivalence refers to the proportion of matter that can be converted into energy in the universe.

This mass-energy equivalence is an outcome of process of converting mass into energy.

In conclusion, the statement 'all energy in the universe is a result of mass being converted into energy' correctly describes mass-energy equivalence.

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Answer:

C

Explanation:

Which law of motion explains what happens during a ride on the bumper cars ?

Answers

Answer:

Newtows first law of motion

An object of mass 5 kilograms is moving across a surface in a straight line with a speed of 3.5 meters/second. what amount of force would be
required to keep the object in motion if you ignore the surface friction?
a 0 newtons
b 175 newtons
c 35 newtons
d 5 newtons

Answers

Taking into account the Newton's second law, the amount of force required to keep the object in motion if you ignore the surface friction is 0 N.

Newton's second law

In first place, acceleration in a body occurs when a force acts on a body. There are two factors that influence the acceleration of an object: the net force acting on it and the mass of the body.

Newton's second law states that this force will change the speed of an object because the speed and / or direction will change. These changes in velocity are called acceleration.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

F = Force [N]m = Mass [kg]a = Acceleration [m/s²]

Force required to keep the object in motion

In this case, you know:

F= ?m= 5 kga= 0 [tex]\frac{m}{s^{2} }[/tex]. Acceleration is a magnitude that measures the change in velocity in a given period. That is to say that if the object changes speed, that change is measured with acceleration. So if an object is moving at a constant speed, there is no change in speed and its acceleration is zero.

Replacing in Newton's second law:

F= 5 kg× 0 m/s²

Solving:

F= 0 N

Finally, the amount of force required to keep the object in motion if you ignore the surface friction is 0 N.

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The kinetic energy of an object is proportional to the square of its _______?

Answers

Answer:

kinetic energy of an object is proportional to the square root of its boiling vocelity

Would young rocks be found near a volcano?

Answers

Answer:

Yes, young rocks typically occur around volcanoes since they are closer to the crate, thus the magma is beginning to cool down to form rocks or it has recently cooled down.

Explanation:

yes

new forms of extrusive igneous rocks will be created as lava cooling and hardening will create new and young rocks

9. A body is a particular amount of matter. It can be a solid, liquid or gas. It can be
described as existing in
O A. size and shape.
O B. time and space.
C. motion and force.
O D. location and movement.
ou fill be highlighted on the review page)

Answers

Answer:

B. Time and Space

Explanation:

Matter is a pshyical or corporeal susbtance in general, whether solid, liquid, or gaseous especially as distinguised from incorpeal substance, as spirit or mind, or form qualities, actions, and the

Within this time-and-space boundary, all matter exists. All matter is made up of atoms. Because these atoms take up space in the universe, solids, liquids, and gases are recognized as existing and may be found in all three dimensions.

Time is a figurative term. Space has three dimensions but time only has one.

Answer:

time and space (A)

Explanation:

When something physically exists, it must exist in time and space. Matter/atoms are recognized as existing--which must be described by existence in time and space.

> Time and space exist as the same property (time cannot exist without space), and is called space-time

> Time is seen as relative {theory of special relativity} meaning that it changes based on your perspective and the space it exists in.

hope this helps!!

give two examples of contact force and non contact force

Answers

Answer:

Explanation:

The two examples of contact forces are frictional force and applied force. The two examples of noncontact forces are gravitational force and magnetic force.

Which one of these is a compound

Answers

Answer:

  (b)  see attached

Explanation:

A compound is composed of molecules, each of which is composed of atoms of two or more different elements.

A single atom of any type is not a compound, nor is a collection of atoms of the same type.

__

The attached figure shows a molecule of HCl, hydrogen chloride. It is a compound.

Which of these is
considered "work"
according to
science?
A. pushing against a wall
B. babysitting
C. kicking a soccer ball

Answers

Answer:c

Explanation:work is force x distance. The wall doesn’t move any distance in A so that’s not work. B involves tasks that do work but I don’t think this is what they’re going for. For a short instance while kicking a ball, your foot is applying a force to the ball which moves a distance before following its own trajectory after contact with your foot. Because the contact has a short duration and isn’t instantaneous, this is work

In physics, work is the energy transferred to or from an object via the application of force along a displacement.

The potential difference across the ends of a wire is doubled in magnitude. If ohm’s law is obeyed, which one of the following statements concerning the resistance of the wire is true?.

Answers

The potential difference across the ends of a wire is doubled in magnitude. If ohm’s law is obeyed, the resistance is not changed. Thus, option A is correct.

What is current?

The current is the stream of charges which flow inside the conductors when connected across the end of voltage.

From Ohm's law, V =IR

Here, R is the proportionality constant called the resistance of the resistor.

The complete question is given in the image attached.

The potential difference across the ends of a wire is doubled in magnitude.2V = IRR =2 V/IAs, the resistance is a constant value, it does not change.

The following statements concerning the resistance of the wire true is :

The resistance is not changed

Thus, the correct option is A.

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When the humerus moves in the glenoid fossa, the moving joint surfaces are:

Answers

When the humerus moves in the glenoid fossa, the moving joint surfaces are convex on concave.

What is Glenoid fossa?

This is a bone depression in which the head of the humerus fits into to aid movement and support.

The moving joint surfaces are convex on concave in structure when humerus moves in the glenoid fossa.

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What will be the ratio between the initial and final kinetic energy of a car, if its velocity is tripled?
A. 1:6
B. 1:7
C. 1:8
D. 1:9

Answers

Answer:b

Explanation:

PLEASE HELP
Identify and describe at least (3) physical science concepts to help with blackout.


Answers

Physics science in blackout involves the transmission of electrical impulses, neurotransmitter signaling and loss of coordination (body movements).

What is blackout?

The expression 'blackout' refers to the loss of memory remembers of one person due to the effects of alcohol.

During this process, a person may lose his/her ability to move due to failure in the transmission of electrical impulses and neurotransmitter signaling.

In conclusion, physics science in blackout involves the transmission of electrical impulses, neurotransmitter signaling and loss of coordination (body movements).

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spurs"" are probably the result of ____.

Answers

Spurs are probably the result of self-sustaining star formation.

What is the formation of gaseous spurs in spiral galaxies?

The gigantic form of the magnificent doppelganger spiral patterns that spiral outward from the galactic cores gave spiral galaxies their name. These light arms of spiral galaxies are frequently seen in optical pictures to be speckled with bright star-forming areas at regular intervals.

Smaller structures spread forth and rearward into the interarm area from each major spiral arm. Spiral-arm also known as spurs are the name given to these substructures. Sometimes the spurs are also filled with star-forming clusters. As a consequence, we may draw the conclusion that spurs most likely emerge from self-sustaining star formation.

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John walked from his home to work, it took him 12 min and the distance covered was 3 km. calculate the average speed in m/s

Answers

Answer:

4.167

Explanation:

ittravels 4.167metres per second

Find the mass of a sample of water if its temperature dropped 24.8 °C when it lost 870 J of
heat. (Remember that specific heat capacity of water 4200 J/kg °C)

Answers

Answer:

8.35 × [tex]10^{-3}[/tex] kg

Explanation:

Remember the formula for heat:

[tex]Q=mc\Delta T[/tex]

You just need to solve for m, doing so you're left with:

[tex]m=\dfrac{Q}{c\Delta T}[/tex]

Replace the variables with numbers and that's it.

How many moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 1024 fluorine atoms?

Answers

12.4 moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms. Details about number of moles can be found below.

How to calculate number of moles?

The number of moles in a molecule of a substance can be calculated by dividing the number of molecules by Avogadro's number.

According to this question, a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms. The number of moles in this sample can be calculated as follows:

no of moles = 7.45 × 10²⁴ ÷ 6.02 × 10²³

no of moles = 1.24 × 10¹

no of moles = 12.4moles

Therefore, 12.4 moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms.

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how can you tell the difference between an expression of speed and an expression of velocity?
A. velocity has unit expressed as distance/time; speed does not.
B. speed has units expressed as distance/time; velocity does not.
C. speed includes a direction; velocity does not.
D. velocity includes a direction; speed does not.

Answers

Answer= D. Velocity includes a direction; speed does not.

Velocity and speed both have the same units of m/s, so answers A and B are wrong.

Velocity is a vector quantity and so has direction and magnitude, so C is wrong.

Speed is a scalar quantity, only having magnitude and no direction.

What name describes an object that orbits a planet?

Answers

Answer:

It can be either a moon or a satellite

Explanation:

a moon is a piece of space debris that orbits a planetdue to the planets gravitational force. Inherently, satellite mimics a moon but it is used for collecting data and etc

a moon or satellite.

At first the contact force from mud on each wheel is 2000n explain why the wheels will start to sink

Answers

The wheels will start to sink due to no friction by the mud to take the grip.

What is frictional force?

When an object is moving on a rough surface, it experiences opposition. This opposing force is called the friction force.

Given is the contact force from mud on each wheel is 2000N  . Assume the only other force acting on the block is that due to gravity.

The friction force is given by

f = coefficient of friction x Normal or contact force

The mud is soft and viscous. When the wheels are rotating, the car will be sinking in mud. This happens due to no grip. Car tries to get out of the mud, but instead it digs itself.

Car needs grip or frictional force to get out from the mud. There is no friction with the ground. Exactly friction makes car's wheels to displace.

Thus, the wheels of the car sink because of no friction from mud.

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5. In the image below, the focus lines are shown. What can be done to bring the apple into focus?
A. Make the lens rounder.
B. Make the lens flatter.
C. Move the apple farther from the eye.
D. Nothing should be done because the apple is already in focus.

Answers

In the image below, the focus lines are shown. The step can be done to bring the apple into focus is make the lens rounder. The correct option is A.

What is lens?

The lens is in spherical shape may be diverging or converging.

As light enters the eye, it is focused on the retina. Changing the pupil diameter, regulates the amount of light entering the eye. Changing lens shape will focus the light.

The changes in lens shape needed to maintain focus as the object distance changes.

Thus, the correct option is A.

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The length of a piece of tissue is 42 meters. How big is 3/7 of this piece?​

Answers

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

[tex]\large \bold {ANSWER}[/tex]

[tex]\large \boxed { \large \sf \green{18}}[/tex]

3/7 of the fabric equals 18.

[tex]\large \bold {SOLUTION}[/tex]

To find the solution to your task, we will have to find 3/7 of 42, that is. How much is 3/7 of 42?

So, to find the value we must do the following way, multiply the value of the length of the fabric 42, by the numerator of the fraction 3 and divide by the denominator 7, See:

[tex]\begin{gathered}\Large\begin{array}{c}\tt\dfrac{3}{7}\:in\: 42\\\\ \tt 42\cdot 3=126\\\\ \tt 126\div 7=\boxed{\boxed{\tt 18}}\end{array}\end{gathered}[/tex]

Hence, 3/7 of the fabric equals 18.

A simulation shows whether changing various weather conditions increases
the likelihood that a hurricane will form. which type of model is this?

a. it is physical.
b. it is computer-generated.
c. it is mathematical.
d. it is conceptual.

Answers

Answer:I don’t know

Explanation:

i don’t know

how many wavelengths are represented​

Answers

Answer:

two wavelength are present

as wavelength is counted either from crest to crest or trough to trough and there are only 2

A ball with a mass of 2000 g is floating on the surface of a pool of water. What is the minimum volume that the ball could have without sinking below the surface of the water? (Note that water has a density of 1.00 g/cm³.)

Answers

Answer:

[tex]2000\; {\rm cm^{3}}[/tex].

Explanation:

When the ball is placed in this pool of water, part of the ball would be beneath the surface of the pool. The volume of the water that this ball displaced is equal to the volume of the ball that is beneath the water surface.

The buoyancy force on this ball would be equal in magnitude to the weight of water that this ball has displaced.

Let [tex]m(\text{ball})[/tex] denote the mass of this ball. Let [tex]m(\text{water})[/tex] denote the mass of water that this ball has displaced.

Let [tex]g[/tex] denote the gravitational field strength. The weight of this ball would be [tex]m(\text{ball}) \, g[/tex]. Likewise, the weight of water displaced would be [tex]m(\text{water})\, g[/tex].

For this ball to stay afloat, the buoyancy force on this ball should be greater than or equal to the weight of this ball. In other words:

[tex]\text{buoyancy} \ge m(\text{ball})\, g[/tex].

At the same time, buoyancy is equal in magnitude the the weight of water displaced. Thus:

[tex]\text{buoyancy} = m(\text{water}) \, g[/tex].

Therefore:

[tex]m(\text{water})\, g = \text{buoyancy} \ge m(\text{ball})\, g[/tex].

[tex]m(\text{water}) \ge m(\text{ball})[/tex].

In other words, the mass of water that this ball displaced should be greater than or equal to the mass of of the ball. Let [tex]\rho(\text{water})[/tex] denote the density of water. The volume of water that this ball should displace would be:

[tex]\begin{aligned}V(\text{water}) &= \frac{m(\text{water})}{\rho(\text{water})} \\ &\ge \frac{m(\text{ball}))}{\rho(\text{water})} \end{aligned}[/tex].

Given that [tex]m(\text{ball}) = 2000\; {\rm g}[/tex] while [tex]\rho = 1.00\; {\rm g\cdot cm^{-3}}[/tex]:

[tex]\begin{aligned}V(\text{water}) &\ge \frac{m(\text{ball}))}{\rho(\text{water})} \\ &= \frac{2000\; {\rm g}}{1.00\; {\rm g\cdot cm^{-3}}} \\ &= 2000\; {\rm cm^{3}}\end{aligned}[/tex].

In other words, for this ball to stay afloat, at least [tex]2000\; {\rm cm^{3}}[/tex] of the volume of this ball should be under water. Therefore, the volume of this ball should be at least [tex]2000\; {\rm cm^{3}}\![/tex].


A kettle consumes 198 kJ to boil water. If 168 kJ was used to boil the
water, what is the efficiency of the kettle?

Answers

The efficiency of the kettle is 117.9%

What is efficiency?

Efficiency is used to measuring how much work or energy we can conserve in a process. In other words, it is like comparing the output of the energy to the input of the energy in any given system.

It is also define as the ratio of  Energy Input to the Energy Output. To express it in percent multiply it by 100.

Here, Efficiency = Energy output / Energy input

          [tex]η =\frac{W_{out} }{W_{in} } * 100[/tex]

[tex]η = \frac{198kJ}{168kJ} * 100[/tex]  

=  117.9%

So , the efficiency is 117.9%

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A periodic wave travels from one medium to another. which pair of variables are likely to change in the process?

Answers

velocity and wavelength are likely to change in the process

When a wave travels from one medium to another it undergoes a change in direction and this is referred to as refraction.Refraction is the bending of a wave or a change in direction of a wave as it travels from one medium to another. Refraction is accompanied by change in velocity and wavelength of a wave

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A student drops a water balloon out of a dorm window 17 m above the ground. What is its speed when it hits the ground?

Answers

so the answer is about 18.24 m/s

this is why:

the equation for calculating the height position from the acceleration due to gravity is
h(t) = -1/2(g)t^2 + vt + p

so in this case g, or the acceleration of gravity is 9.81, the initial velocity (v) is 0, and the initial position (p) is 17. once we plug in these numbers we get the equation h(t) = -4.91t^2 + 17

we know that height is zero when it hits the ground so we can use the quadratic equation to solve for when y is zero. since time cant be negative, then out answer is the positive zero of this equation, or 1.86.

once we know this then we can plug this amount of time into the equation
v(t) = gt + v

this means that the velocity after a certain time (t) is equal to the gravitational force, in this case 9.81, multiplied by the amount of time passed plus the initial velocity (v).
since we know the initial velocity is zero and the time that the balloon hit the ground (1.86), we can multiply the gravitational force, 9.81, by the time when it hits the ground (1.86) to get 18.24 m/s

A race car rounds a curve at 54 m/s. The radius of the curve is 441 m, and the car’s mass is 610 kg. (Assume that the car’s speed remains constant. Take the radially inward direction to be positive) The car’s acceleration is 6.61 m/s2. What is it in g’s? What is the centripetal force acting on the car?

Answers

The car’s acceleration in g’s is equal to 0.67 m/s² and the centripetal force acting on is equal to 4033.47 Newton.

How to calculate the car’s acceleration in g’s?

Since the car’s acceleration is given as 6.61 m/s², we would simply divide it by the acceleration due to gravity (9.8 m/s²) to calculate the car’s acceleration in g’s as follows:

Acceleration, g = 6.61/9.8

Acceleration, g = 0.67 m/s².

What is the centripetal force acting on the car?

Mathematically, the centripetal force acting on this car can be calculated by using this formula:

Fc = mv²/r

Fc = (610 × 54²)/441

Fc = 1778760/441

Fc = 4033.47 Newton.

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A torque acts on a wheel rotating at 19.8 rad/s and increases its angular speed to 23.5 rad/s in 11.2 s. Find the angle through which the wheel turns during this time.

Answers

243 rad is the angle through which the wheel turns during this time.

What is torque and angular speed?

Torque is a measure of the force that can cause an object to rotate about an axis.

Angular speed is define as  the measuring angle of rotation over a given amount of time.

Mathematically , ω = θ t

From the given question ,

Torque = 19.8 rad/s

ω = 23.5 rad/s

t = 11.2 s

We get the equation,

[tex]\frac{ 19.8 +23.5}{2} * 11.2[/tex]

= 243 rad

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