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Acceleration, Displacement, and Velocity

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1. A car rounds a 1.20 km radius circular track at 89 km/h
Find the magnitude of the car's average acceleration after it has completed one-fourth of the circle.
Express your answer to two significant figures and include the appropriate units.

2. You walk 1260 m east and then 860 m south in a total time of 25 min .
A. Compute your displacement.
Enter the east and south components of the displacement separated by a comma.
B. Compute your average velocity in m/s.
Enter the east and south components of the velocity separated by a comma.

3. A circular racetrack with 250 m radius lies in the x-y plane and is centered at the origin. A car rounds the track counterclockwise starting at the point (250 m , 0).
A. Find the total distance traveled after one-quarter lap.
Express your answer with the appropriate units.
B. Find the total displacement after one-quarter lap.
Enter the x and y components of the displacement separated by a comma.
C. Find the total distance traveled after one-half lap.
Express your answer with the appropriate units.
D. Find the total displacement after one-half lap.
Enter the x and y components of the displacement separated by a comma.
E. Find the total distance traveled after one complete lap.
Express your answer with the appropriate units.
F. Find the total displacement after one complete lap.
Enter the x and y components of the displacement separated by a comma.

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Solution Preview

Please refer to the attachment.

1. A car rounds a 1.20 radius circular track at 89
Find the magnitude of the car's average acceleration after it has completed one-fourth of the circle.
Express your answer to two significant figures and include the appropriate units.

Solution:
y
Vf Car's position at t = t

R=1.2 km Vi

Car's position at t=0
x

Initial and final velocity (after one fourth circle) of the car are shown in the fig.. Change in velocity = Final velocity - Initial velocity. To determine the change in velocity we draw the velocity vector diagram.

Vi
(Vf - Vi)

Vf

In the above vector diagram Vf - Vi = ΔV represents the change in the velocity in time t (time taken to complete one fourth circle).

Magnitude of the change in velocity ΔV = √(Vi2+Vf2) = √(892+892) = 125.87 km/hr

Actual distance travelled by the car = ¼ ...

Solution Summary

Acceleration, displacement and velocity is examined. The expert computes the average velocity and displacement.

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Applied Physics: Displacement, Velocity and Acceleration

Work out the following problems. Be sure to show your work in detail.

1. A car is driving along a straight section of highway between Oklahoma City and Tulsa. At one point in time, the car is 50 miles from Tulsa. At a later point in time, it's 40 miles from Tulsa. What is its displacement?

2. An ant is placed on a piece of graph paper. It crawls 3 cm on an azimuth (course angle) of 30 degrees, 5 cm on an azimuth of 180 degrees, and 2 cm on an azimuth of 270 degrees. At that point, the observer loses patience and swats and ant. What is the X-Y position of the squashed ant, measured with respect of the place where it started?

3. A motorcycle rider is attempting to set a speed record on a straight course. The cycle passes two points, a measured 100 m apart, in 1.2 seconds. What is its average velocity between those points?

4. A M1911 pistol fires a .45 ACP round. The bullet leaves the 13 cm barrel with a velocity of 300 m/s.
a. What is the bullet's average velocity while in the barrel?
b. If the acceleration is assumed to be constant, how long does it take the bullet to travel the length of the barrel?
c. What is the average acceleration of the bullet in the barrel?

5. A small powder charge propels a shoulder-launched antitank missile from its tube at 20 m/s. At 0.2 seconds after launch, the rocket motor ignites and accelerates the missile at a constant 20 g. After 2 seconds, the missile hits its target and detonates. How far away was the target? Assume a straight flight path. (Hint: Calculate two distances, one before and one after rocket motor ignition.)

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