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Physics - Constant Acceleration Practice Problems
1.A ball rolling down an incline travels 6.0 cm in the first 0.25 seconds, and 24 cm in the first 0.50 seconds. Find:
a)The average speed for the first quarter second time interval
b)The average speed for the second quarter second time interval.
c)Find its acceleration.
2.A baseball starts from rest and rolls 50.0 m down a hill in 10.0 seconds.
(a)What is the acceleration?
(b) What is the velocity after 10.0 seconds?
3.An object has an in initial velocity of 4.0 m/s and a constant acceleration of 2.0m/s2. How far does it travel in 10.0 seconds?
4.A yard engine shunts a freight car along a level siding. If the car stops in 50.0 seconds, 250 m from the point where it was released by the engine, calculate the velocity of the car when it was released.
5.An object has an initial forward velocity of 25 m/s and a constant acceleration of –1.5 m/s2. How far does it travel in 5.0 seconds?
6.A ferryboat has an acceleration of 0.50 m/s2. If the ferry travels 125m in 20 seconds while accelerating, what was its initial velocity?
7.A rider slows a horse from a 9.5 m/s gallop to a 5.5 m/s canter while traveling a distance of 32m. How much time did this take?
- A soccer ball rolls to a stop from a speed of 21 m/s with a deceleration of –2.0m/s2. How far does it roll until it stops?
9.A skateboarder rolls down the sidewalk with an initial velocity of 3.5m/s. If her acceleration is 1.5 m/s2, how long will it take her to reach the bottom 120m away?
10.A cyclist moving with constant velocity of 6.0 m/s forward passes a car that is just starting. If the car has constant acceleration of 2.0 m/s2, where and when will the car overtake the cyclist?
11.An object moves for 3.0 seconds with constant acceleration, during which time it travels 81m. The acceleration ceases, and during the next 3.0 seconds it travels 72m.
a)How would you describe its motion in the last 3.0 seconds?
b)What was the initial velocity before the acceleration?
12.A spacecraft orbiting a planet goes out-of-control and starts falling towards the planet. The spacecraft falls 1200 m in the first 10 seconds, after which the retro-rocket fires and the craft starts to accelerate upwards at 0.5 g (1 g = 9.81 m/s2)
(a)How long after the rocket fires does the craft stop falling?
(b)How much further does the craft fall before stopping?
(c)How many seconds after the rocket fires does the craft reach its original orbit?
13.A car travelling at 60.0 m/s forward slows down to 40 m/s forward. in 2.5 seconds. Assuming that this acceleration continues, how many seconds would it take the car to slow to
(a)12 m/s forward?
(b)rest?
14.A toy friction car is propelled forward from rest by a girl’s hand which causes it to reach a forward velocity of 3.5 m/s in 0.40 seconds. It is then released and later stops in 5.6 seconds.
(a)What is the acceleration with which the car speeded up?
(b) What is the acceleration with which the car slowed down?
(c)How far did the toy car travel?
15.A model engine accelerates forward from rest along a straight track at 10.0 m/s2 for 3.0 seconds. It then accelerates forward at 16 m/s2 for 5.0 seconds, and finally decelerates at 12 m/s2 until it stops.
(a)Calculate how many seconds the engine was moving.
(b)What was its maximum velocity?
(c)Plot a velocity/time graph of its motion
(d)Find the total distance travelled.