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Motion in a Straight Line

1. A race car can be slowed with an acceleration of -11m/s2.

a. If the car is going 55m/s, how many meters will it take to stop?

b. Repeat for an initial speed of 110m/s.

2. Find the uniform acceleration that causes an object’s speed to change from 32 m/s to 96 m/s in an 8.0 s period.

3. A rocket traveling at 155m/s is accelerated at a rate of -31.0m/s2.

a. How long will it take before the instantaneous speed is 0m/s?

b. How far will it travel during this time?

c. What will be its velocity after 8.00s?

4. A car with a velocity of 22m/s is accelerated uniformly at the rate of +1.6m/s2 for 6.8s. What is its final velocity?

5. Determine the final velocity of a proton that has an initial velocity of +2.35x105m/s and then is accelerated uniformly in an electric field at the rate of -1.10x1012m/s2 for 1.5x10-7s.

6. A supersonic jet that is flying at 2.0x101 m/s is accelerated uniformly at the rate of 23.1 m/s2 for 20.0s.

a. What is its final speed?

b. The speed of sound is 331 m/s in air. How many times the speed of sound is the plane’s final speed?

7. Determine the displacement of a plane that is uniformly accelerated from +66m/s to +88m/s in 12s.

8. How far does a plane fly in 15s while its velocity is changing from +145m/s to +75m/s at a uniform rate?

9. You are driving down a street in a car at 55km/h. Suddenly, a child runs into the street. If it takes you 0.75s to react and apply the brakes, how many meters will you have moved before you begin to slow down?

10. If a bullet leaves the muzzle of a rifle with a speed of 600m/s, and the barrel of the rifle is 0.9m long, at what rate is the bullet accelerated while in the barrel?

11. A car comes to rest after a uniform acceleration of -90 m/s2 for 8.0s. What distance does it travel during this time?

12. A plane travels a distance of +5.0 x 102 m while being accelerated uniformly from rest at the rate of +5.0m/s2. What final speed does it attain?

13. An astronaut drops a feather from 1.2m above the surface of the moon. If the acceleration of gravity on the moon is one sixth of the acceleration on Earth, how long does it take the feather to his the surface?

14. A stone falls freely from rest for 8.0s.

a. Calculate its final velocity.

b. What distance does the stone fall during that time.

15. A weather balloon is floating at a constant height above the Earth when it releases a pack of instruments.

a. If the pack hits the ground with a velocity of-73.5m/s, how far does the pack fall?

b. How long does the pack fall?

16. A race car starts from rest and is accelerated uniformly to +41 m/s in 8.0s. What is the car’s displacement?

17. A race car traveling at +44m/s is uniformly accelerated to a velocity of +22m/s over an 11s interval. What is its displacement during this time?

18. A rocket traveling at +88m/s is accelerated uniformly to +132m/s over a 15s interval. What is the rocket’s displacement during this time?

19. An engineer must design a runway to accommodate airplanes that must reach a ground speed of +61m/s before they can take off. These planes are capable of being accelerated uniformly at the rate of +2.5m/s2.

a. How long will it take the planes to reach takeoff speed?

b. What must be the minimum length of the runway?

20. An airplane starts from rest and accelerates at a constant rate of +3.00m/s2 for 30.0s before leaving the ground. What is its displacement during this time interval?

21. Starting from rest, a race car moves 110m in the first 5.0s of uniform acceleration. What is the car’s acceleration?

22. A jet plane traveling at +88m/s lands on a runway and comes to rest in 11s.

a. Calculate the acceleration.

b. Calculate the distance it travels.

23. A driver brings a car traveling at +22m/s to a full stop in 2.0s.

a. What is the car’s acceleration?

b. How far does it travel before stopping?

24. A bicyclist approaches the crest of a hill at +4.5m/s. She accelerated down the hill at a rate of +0.40m/s2 for 12s. How far does she move down the hill during this time interval?

Answers:

1. a. 138 m

b. 550 m

2. 8 m/s2

3. a. 5 s

b. 387 m

c. -93 m/s

4. 32.9 m/s

5. 7x104 m/s

6. a. 482 m/s

b. 1.46 times

7. 924 m

8. 1650 m

9. 11.4 m

10. 2.00x105 m/s2

11. 2880 m

12. 70.7 m/s

13. 1.21 s

14. a. -78.4 m/s

b. -313.6 m

15. a. -276 m

b. 7.5 s

16. 164 m

17. 363 m

18. 1650 m

19. a. 24.4 s

b. 744 m

20. 1350m

21. 8.8 m/s2

22. a. 8 m/s

b. 484 m

23. a. -11 m/s2

b. 22 m

24. 82.8 m

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