Due: ______________
Equations:
Name:___________________________
Hour:_____
You must use the given, unknown, equation format where applicable in order to receive full credit.
1.
Explain the difference between speed and acceleration including what units they are typically used.
2.
A car is traveling at a constant speed of 20m/s. What distance will it have covered at the end of the first 3
seconds?
Given:
Unknown:
Equation:
3.
A ball rolling down a hill is uniformly accelerated at 3m/s2. Assuming it starts from rest, what is its speed at the
end of the first 3 seconds?
(Use the format as shown in #2.)
4.
An automobile moving at 25m/s passes a highway patrol car moving at 23m/s in the same direction.
a. What is the relative speed of the automobile as measured by the highway patrol car? (No format needed.)
b. How far ahead of the patrol car will the automobile be 10 seconds after passing it?
5.
a. How long will it take a bowling ball in free fall to reach a speed of 58.8m/s? (ans. 6 sec.)
b. How far will it have fallen during that time? Solve this using two different equations. Make sure you get the
same answer for each. (ans. 176.4 m)
6.
A car moving on a straight road increases its speed at a uniform rate from 10m/s to 20m/s in 5 seconds.
a. What is its acceleration? (ans. 2 m/s2)
b. How far did it travel during the 5 seconds? Solve this using two different equations. Make sure you get the
same answer for each. (ans. 75 m for both methods)
7.
A ball thrown vertically upward returns to the hand of the thrower 6.0 seconds later.
a. For how many seconds did the ball fall after reaching its high point? __________ (Think about it. Your
guess is probably right!)
b.
8.
A car traveling at 55 miles per hour is brought to rest at a constant rate in 20.0 s by applying the brake.
a. What is the acceleration? (A negative acceleration is the same as a deceleration.) (ans. -1.23 m/s2)
(Don’t forget to convert the speed. You need to show all of your work.)
b.
9.
How high did the ball go? (ans. 44.1 m)
How far did it travel during that acceleration? (ans. 246 m)
A bullet leaves the muzzle of the gun at a speed of 400 m/s. The length of the gun barrel is 0.50 m. Assuming
the bullet was uniformly accelerated, how long was the bullet in the gun after it was fired? (ans. 0.0025 sec.)
10. During a 30.0-second interval, the speed of a rocket rose steadily from 100 m/s to 500 m/s. How far did the
rocket go during this time? (ans. approximately 9,000 m)
11. An electron was uniformly accelerated from rest to a speed of 2.0 x 107 m/s.
a. If the electron traveled 0.10 m while being accelerated what was its acceleration? (ans. 2.0 x 1015 m/s2)
b. How long did it take to attain its final speed? Solve this using two different equations. Make sure you get
the same answer for each. (ans. 1.0 x 10-8 sec.)
12. A bullet is shot vertically upwards at an initial velocity of 908 miles per hour. Neglecting air resistance,
a. how long does it take before the bullet stops rising? (ans. 41.4 sec.)
b. how high does the bullet go during this time? (ans. approximately 8,400 m)