A projectile is fired horizontally with a velocity of 48 m/s from the hill 294 m high. Find the time taken to reach the ground.

A. 7.75 s
B. 10.0 s
C. 60.5 s
D. 15.2 s

Answers

Answer 1
Using only vertical components to substitute into the kinematic equation d=Vi(t)+1/2(a)(t)^2, we have:

d=294m
Vi= 0m/s
Vf=?
a=10m/s^ (use 9.81 in substitution for regents physics)
t=?

First let’s solve for Vf using Vf^2=Vi^2+2(a)(d)

Vf^2= (0m/s) + 2(10m/s^2)(294m)
[RAD]Vf^2= [RAD]5880m/s
Vf=76.7m/s

Now we can solve for time using d=Vi(t)+1/2(a)(t)^2

294m=(0m/s)+1/2(10m/s^2)(t)^2
(294m)/5=((5m/s)(t)^2)/5
[RAD]t^2= [RAD]58.8sec
t=7.66 sec

*when using 9.81m/s^2 as (a) value, the answer is 7.75 sec

Related Questions

Select the choice that does NOT describe an acceleration .
А pedaling faster
B coasting
C turning a corner
D hitting the brakes

Answers

Answer:

Answer

b) Coasting does not dedcribe acceleration

In hookes law an exact law of physics or an approximation? Why?

Answers

In my opinion it is an approximation. The structure of materials is complex and the idea that the extension is perfectly proportional to the tensile force cannot be 100% exact.

The maximum energy a bone can absorb without breaking is surprisingly small. For a healthy human of mass 59 kg , experimental data show that the leg bones can absorb about 200 J . Part A From what maximum height could a person jump and land rigidly upright on both feet without breaking his legs

Answers

Answer:

0.35m

Explanation:

In this problem we want to solve for the height given the potential energy

the potential energy is the energy possessed  by a body by virtual of it position.

given data

mass m=59kg

PE(potential energy)= 200J

Height h=?

assuming g=9.81,/s^2

we know that the expression for potential energy is

PE=mgh

substituting we have

200=59*9.81*h

200=578.79h

divide both sides by 578.79

h=200/578.79

h=0.35m

Therefore the height is 0.35m

What do feathers, fur, overcoats, and whale blubber all have in common?

A. They are all good conductors of heat.


B. They all generate heat.


C. They are all electrical conductors.


D. They are all heat insulators.

Answers

Answer:

D. They are all heat insulators.

Explanation:

Those things mentioned above are examples of heat insulators. As a heat insulator, it helps to prevent the heat from leaving the body thereby keeping the body warm and risk free.Feathers in birds and overcoat in humans helps to keep the bodies of the wearer safe and warm during the cold season.

Police at a crime scene find a ceramic mug shattered on the sidewalk. They want to determine the window from which the mug fell, and they decide to make a model of the fall. Which quantitiy would be an important boundary condition for this model?

the hardness of the sidewalk where the mug landed

the time of day when the incident occurred

the final speed of the mug

the initial height of the mug above the sidewalk

Answers

Answer:

Initial height

Answer:

A: the hardness of the sidewalk where the mug landed

Explanation:

did the quick check

Choose all the right answers.

Each new cell produced by mitosis:

is different
inherits all the traits from its parent
obtains new traits
is identical to the parent's structure

Answers

Answer:

B and D

Explanation:

Answer:

It is B. inherits all the traits from its parent

And D. is identical to the parent's structure

Explanation:

Hope this helped have an amazing day!

In the Daytona 500 auto race, a Ford Thunderbird and a Mercedes Benz are moving side by side down a straightaway at

67.0 m/s. The driver of the Thunderbird realizes that she must make a pit stop, and she smoothly slows to a stop over a

distance of 250 m. She spends 5.00 s in the pit and then accelerates out, reaching her previous speed of 67.0 m/s after a

distance of 360 m. At this point how far has the Thunderbird fallen behind the Mercedes Benz, which has continued at a

constant speed?

Answers

Answer:

945 m

Explanation:

First of all let's find the first acceleration before the first stop. We will use Newton's 3rd equation of motion;

v² = u² + 2as

a = (v² - u²)/2s

In this first motion, the initial velocity is given as u = 67 m/s, while the final velocity which is the stop is v = 0 m/s and the distance is s = 250 m

Thus;

a = (0² - 67²)/(2 × 250)

a = -4489/500

a = -8.978 m/s²

Now, to get the time spent for this 250 m distance, we will use Newton's 2nd law of motion;

s = ut + ½at²

Plugging in the relevant values;

250 = 67t + ½(-8.978)t²

250 = 67t - 4.489t²

4.489t² - 67t + 250 = 0

Using quadratic formula, we will arrive at;

t = 7.463 s

Now, we are told that she accelerates out, reaching her previous speed of 67.0 m/s after a distance of 360 m. Thus, let's calculate the time it took to accelerate after a distance of 360 m.

Since she stayed from rest in this phase, then initial velocity (u) = 0 m/s.

Like in the first phase, we can find the acceleration from;

a = (v² - u²)/2s

a = (67² - 0²)/(2 × 360)

a = 4489/720

a = 6.235 m/s²

Thus, we can find the time for this 360 m phase by using; s = ut + ½at², we have;

360 = 0 + ½(6.235)t²

Multiply through by 2 to get;

6.235t² = 720

t² = 720/6.235

t² = 115.477145

t = √115.477145

t = 10.746 s

We are told that she spends 5 s in the pit. Thus;

Total time is;

t_total = 7.463 + 5 + 10.746

t_total = 23.209 s

Distance covered by the Mercedes Benz = 67 × 23.209 = 1555 m

Total distance covered by Thunderbird = 250 + 360 = 610 m

Thus, distance of Thunderbird behind Mercedes Benz is = 1555 - 610 = 945 m

Determine the average velocity of the cart during the time interval from frame 100100 to frame 124124. For all vector quantities, we’ll use the convention that right is positive and left is negative.

Answers

The video showing the movement of the cart during the time interval is gotten from the link;

https://mediaplayer.pearsoncmg.com/assets/_frames.true/frames.true_white_ruler

Answer:

V_avg = 1.8 m/s

Explanation:

From the video, the distance moved by the cart during the 24 frames is 18 cm or 0.18 m.

Now, the speed is at the rate of 240 frames per seconds.

Now, average velocity is given as;

V_avg = distance/time

Time = 24 frames/240 frames/s

Time = 0.1 s

Thus;

V_avg = 0.18/0.1

V_avg = 1.8 m/s

The first stage of a Saturn V space vehicle consumed fuel and oxidizer at the rate of 1.50 3 104 kg/s with an exhaust speed of 2.60 3 103 m/s. (a) Calculate the thrust produced by this engine. (b) Find the acceleration the vehicle had just as it lifted off the launch

Answers

Answer:

Explanation:

Thrust produced = v dm / dt

v is speed of exhaust and dm / dt is rate at which mass of gas is being thrown out .

= 2.603 x 10³ x 1.503 x 10⁴

= 3.91 x 10⁷ N  ,

What is the mass of a cylinder of silicon (in units of grams) that is 4.00 cm in diameter and 10.55 cm long?

Answers

Answer:

309.02g

Explanation:

According to the information given in this question, the cylinder has the following:

Mass = ?

Length/height = 10.55cm

Diameter = 4.00cm

Volume of a cylinder = πr²h

Where; π = pie (3.142 or 22/7)

r = radius (cm)

h = height

Note that, radius = diameter/2

Hence, radius (r) = 4.00/2

r = 2.00cm.

V = πr²h

V = 22/7 × 2² × 10.55

V = 22/7 × 42.2

V = 928.4/7

V = 132.628cm³

Density = mass/volume

Hence, mass = density × volume

Where density of silicon is 2.33g/cm³

Mass = 2.33g/cm³ × 132.628cm³

Mass = 309.02g

If the stars at the turnoff point in a star cluster have masses of about four solar masses, how old is the cluster

Answers

Answer:

age of the cluster is 3.125 × 10⁸ years

Explanation:

Given that;

stars at the turnoff point in a star cluster have masses of about 4 solar masses

Age of the cluster?

we know that the main sequence lifetime of a star in solar lifetime(t) is related to the mass of the star in solar masses(M). expressed as

ζ = M^(-5/2)

our M is 4, so we substitute

ζ = 4^(-5/2)

ζ =  0.03125 solar lifetime

now convert the lifetime of star cluster into years

ζ = 0.03125 solar lifetime × (10¹⁰ years / 1 solar lifetime)

ζ = 312,500,000 ≈3.124 × 10⁸ years

therefore age of the cluster is 3.125 × 10⁸ years

What is the magnitude of the upward thrust force (assumed constant)?Express your answer with the appropriate units

Answers

Complete Question

A helicopter of mass  [tex]1.40 *10^{3}[/tex] kg is descending vertically at 3.00 m/s. The pilot increases the upward thrust provided by the main rotor so that the vertical speed decreases to 0.450 m/s as the helicopter descends 5.00 m. What is the magnitude of the upward thrust force (assumed constant)?Express your answer with the appropriate units.

Answer:

The value is  [tex]F = 11257 \ N[/tex]

Explanation:

From the question we are told that

   The mass of the helicopter is  [tex]m = 1.40 *10^{3} \ kg[/tex]

   The initial descending speed is [tex]u= 3.00 \ m/s[/tex]

   The  descending speed after the upward thrust has been increased is [tex]v = 0.450 \ m/s[/tex]

    The  height when descending speed is [tex]v = 0.450 \ m/s[/tex]  is  [tex]s = 5.0 \ m[/tex]

Generally according to the kinematics equations

   [tex]v^2 = u^2 + 2(a)s[/tex]

Here a is the acceleration due to gravity plus the acceleration of the helicopter

So

    a  =  [tex]a = -g + a_h[/tex]

the negative sign is due to the fact that the direction of the plane is in the negative y axis

So

       [tex]v^2 = u^2 + 2(-g + a_h)s[/tex]

=>    [tex]0.45^2  =  3^2  + 2(-9.9 + a_h) * 5[/tex]

=>   [tex]a_h = \frac{-8.7975}{5} + 9.8[/tex]    

=>   [tex]a_h = 8.0405 \ m/s^2[/tex]    

Generally the thrust force is mathematically represented as

     [tex]F = m * a_h[/tex]

=> [tex]F = 1.40 *10^{3} * 8.0405[/tex]

=> [tex]F = 11257 \ N[/tex]

   

In part A, the metal object was heated in water. If some of the hot water was transferred to the calorimeter along with the metal object, what effect would this have on the calculated value of the specific heat of the metal

Answers

Answer:

The calculated value of the specific heat capacity of the metal will be larger than the actual value

Explanation:

If some of the hot water is transferred to the Calorimeter along with the metal object whose specific heat is to calculated the effect will be that the calculated value of the specific heat of the metal will be larger than normal

this can  be explained with the equation below

= heat transferred to liquid in which metal was / Δ T metal

where ΔTmetal < heat transferred to liquid

"The magnitude of the acceleration due to gravity on the surface of planet A is twice as great as on the surface of planet B. What is the ratio of the weight of mass X on the surface of planet A to its weight on the surface of planet B?"

Answers

Answer:

2 : 1

Explanation:

Given that The magnitude of the acceleration due to gravity on the surface of planet A is twice as great as on the surface of planet B. What is the ratio of the weight of mass X on the surface of planet A to its weight on the surface of planet B?"

Since the magnitude of the acceleration due to gravity on the surface of planet A is twice as great as on the surface of planet B. And

Weight W = mg

Mass is always constant

2g : g

The ratio of the weight of mass X on the surface of planet A to its weight on the surface of planet B will be:

2 : 1

An 8.5 kg bowling ball initially at rest is dropped from the top of a building. The ball hits the ground with an acceleration of 9.8 m/s2. Find the net force on the falling ball.

Answers

Answer:

The answer is 83.3 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 8.5 × 9.8

We have the final answer as

83.3 N

Hope this helps you

A car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.89 m/s^2 for t1 = 20 s. At that point the driver notices a tree limb that has fallen on the road and brakes hard for t2 s until it comes to a stop. Required:a. Write an expression for the car's speed just before the driver begins braking, v1.b. If the limb is on the road at a distance of 550 meters from where the car began its initial acceleration, will the car hit the limb?c. How far, in meters, from the original location of the limb will the car be when it stops?

Answers

Answer:

A.) 37.8 m/s

B.) No

C.) 172 m

Explanation:

Given that  car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.89 m/s^2 for t1 = 20 s. At that point the driver notices a tree limb that has fallen on the road and brakes hard for t2 s until it comes to a stop. Required:

a.) Write an expression for the car's speed just before the driver begins braking, v1.

Since the car accelerate from rest, initial velocity U = 0

Using first equation of motion

V1 = U + at

V1 = 1.89 × 20

V1 = 37.8 m/s

b.) If the limb is on the road at a distance of 550 meters from where the car began its initial acceleration, will the car hit the limb?

Using third equation of motion

V^2 = U^2 + 2as

37.8^2 = 0 + 2 × 1.89 × S

1428.84 = 3.78S

S = 1428.84 / 3.78

S = 378m

Since the limb is on the road at a distance of 550 meters from where the car began its initial acceleration, we can therefore conclude that the car will not hit the limb.

c. How far, in meters, from the original location of the limb will the car be when it stops?

550 - 378 = 172 m

The car will be 172 metres from the limb.

PLEASE HELP
You finally got inside the school. You look outside and see the zombie still coming after you. He is walking at 0.5 m/s. How long will it take him to get to the school if he is 200 m away?​

Answers

Answer:

400 seconds

Explanation:

Divide the total distance by the unit rate

200/0.5 = 400

400 seconds

Answer:

400 seconds

Explanation:

how many hydrogen atoms are needed to bond with carbon so that both fulfill the octet rule?

Answers

Answer:5

Explanation:

5 right

Answer:

4

Explanation:

Carbon, with 4 electrons in its valence shell, will need another four electrons to fulfill the octet rule. Thus it needs to combine with 4 hydrogen atoms to form a stable compound called methane(CH4)

A rocket blasts off and moves straight upward from the launch pad with
constant acceleration. After 3.0 seconds the rocket is at a height of 77
meters. What is the rocket's velocity at that time?

Answers

the answer is 172.249 mph or 252.637 ft/s

Calculate the energy stored in a spiral spring
of force constant is 800 N/m compressed by
1.2 m​

Answers

Answer:

W=k[tex]x^{2}[/tex]/2 = 576 j

Explanation:

What is the instrument used to measure amount of substance?​

Answers

Answer:

Moles

Explanation:

Moles can be used to measure the quantity of any substance. A mole of water is a small mouthful; a mole of elephants is about the size of the planet Saturn.

CAN ANYONE PLEASE HELP ME WITH THIS QUESTION THAT IS ABOVE PLEASE I REALLY NEED THE HELP I AM STRUGGLING PLEASE THANK YOU IF YOU ANSWER MY QUESTION I APPRECIATE IT

Answers

Answer:

D.

Explanation:

What value resistor will discharge a 2.60 μFμF capacitor to 20.0%% of its initial charge in 2.20 msms ? nothing Ω

Answers

Answer:

The value of resistor is 525.76 ohms

Explanation:

Given;

capacitance, C = 2.6 μF = 2.6 x 10⁻⁶ F

let the initial charge on the capacitor = Q₀

time , t = 2.2 ms = 2.2 x 10⁻³ s

The discharge of the capacitor is given by;

[tex]Q(t) = Q_oe^{-\frac{t}{RC} }[/tex]

Where;

Q(t) is the charge after 2.2ms = 20% of Q₀ = 0.2Q₀

[tex]Q(t) = Q_oe^{-\frac{t}{RC} }\\\\0.2Q_o = Q_oe^{-\frac{t}{RC} }\\\\0.2 = e^{-\frac{t}{RC} }\\\\ln(0.2) = -\frac{t}{RC}\\\\-1.6094 = -\frac{t}{RC}\\\\R = \frac{t}{1.6094C} \\\\R = \frac{2.2*10^{-3}}{1.6094*2.6*10^{-6}}\\\\R = 525.76 \ ohms[/tex]

Therefore, the value of resistor is 525.76 ohms

5. A basketball is passed 15 m due West, then 20 m north. What is the total distance the
basketball travelled?

Answers

Answer:

35 meters

20+15=35

A car accelerates from rest to 95 km/h in 5 seconds, what is the average acceleration of the car in m/s2

Answers

Answer:

The average acceleration of the car is 5.2778 [tex]\frac{m}{s^{2} }[/tex]

Explanation:

The acceleration of an object is a magnitude that indicates how the speed of the object changes in a unit of time. That is, acceleration relates changes in velocity with the time in which they occur.

The expression for the calculation of the acceleration is:

[tex]acceleration=\frac{change of velocity}{time}[/tex]

In this case:

acceleration=?change of velocity= final velocity - initial velocity= 95 km/h - 0 km/h (because the car accelerates from rest)= 95 km/htime= 5 seconds

First, it is convenient to express the change in velocity in units of m/s, where 1 h = 3,600 s and 1 km = 1,000 m.

[tex]change of velocity= 95 \frac{km}{h} =95\frac{1,000 m}{3,600 s} =26.3889 \frac{m}{s}[/tex]

So, replacing in the definition of acceleration:

[tex]acceleration=\frac{26.3889\frac{m}{s} }{5 s}[/tex]

acceleration= 5.2778 [tex]\frac{m}{s^{2} }[/tex]

The average acceleration of the car is 5.2778 [tex]\frac{m}{s^{2} }[/tex]

If everything else remains the same, but the charges of two objects are each doubled, the electrostatic force between them will be __________ times what it was before.

Answers

Answer:

Four times

Explanation:

The electrostatic force between the two charges is given by :

[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]

d is the distance between two charges

k is electrostatic constant

When both charges are doubled, [tex]q_1'=2q_1\ \text{and}\ q_2'=2q_2[/tex], new force is given by :

[tex]F'=\dfrac{kq_1'q_2'}{d^2}\\\\F'=\dfrac{k(2q_1)(2q_2)}{d^2}\\\\F'=4\times \dfrac{kq_1q_2}{d^2}\\\\F'=4F[/tex]

So, the electrostatic force between them will be four times what it was before.

Aballisprojectedverticallyupwardswithaninitialvelocityofugoestoa

maximumheighthbeforecomingtoground.Whatisthevalueofh?​

Answers

Uhhhhhhh very confusing

A 1.95 m length of wire is held in an east–west direction and moves horizontally to the north with a speed of 15.5 m/s. The vertical component of Earth's magnetic field in this region is 40.0 μT directed downward. Calculate the induced emf between the ends of the wire and determine which end is positive.

Answers

Answer:

[tex]\epsilon=1.2\times 10^{-3}\ V[/tex]

Explanation:

Given that,

Length of a wire, l = 1.95 m

Speed of the wire, v = 15.5 m/s

The vertical component of Earth's magnetic field in this region is 40.0 μT directed downward.

We need to find the induced emf between the ends of the wire and determine which end is positive. The induced emf for a wire is given by :

[tex]\epsilon=Blv\\\\\epsilon = 40\times 10^{-6}\times 1.95\times 15.5\\\\\epsilon=1.2\times 10^{-3}\ V[/tex]

So, the induced emf between the ends of the wire is [tex]1.2\times 10^{-3}\ V[/tex].

A person weighing 200 pounds stands on snowshoes. If the area of each snowshoe is 400 square inches, the pressure on the snow is

Answers

Answer:

0.5 pounds per square inches (ibs/in²)

Explanation:

The pressure of an object refers to the force it exerts per unit area i.e. F/a. In this question, the force, F, is created by the weight, W, of the snowshoe. Hence, pressure is calculated thus:

P = W/A

Where; P = Pressure (ibs/in²)

W = Weight of object (ibs)

A = surface area (in²)

In this question, weight = 200 pounds, Area = 400 square inches

Hence, pressure = 200/400

Pressure (P) = 2/4

Pressure (P) = 0.5 ibs/in²

. Explain what a flyback diode is and why such a device is often placed in parallel with the coil in a relay circuit

Answers

Answer:

Explained below.

Explanation:

A flyback diode is simply defined as a diode that is connected across an inductor in order to eliminate the sudden spike in voltage that's seen across an inductive load when its supply current is unexpectedly reduced or interrupted. This sudden spike in voltage is known as flyback.

It's very important to place this flyback diode in parallel with the coil in a relay circuit because it allows current to pass through with minimal resistance thereby preventing flyback voltage from building up when power is disconnected.

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