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Acceleration Problems

 

1.  An ice cream truck is moving along at 20 m/s (its initial velocity.) It then speeds up (accelerates) for 5 seconds at 8 m/s2. What distance would the truck travel in this time interval?

 

2.   What velocity would be attained by rolling ball which is accelerated at 0.30 m/s2 over a distance of 50. m. The starting velocity was 0.50 m/s and the force that caused the acceleration was applied for 5.0 seconds.

 

3.  If a calculator falls off the side of student desk and hits the floor 0.39 seconds later, how tall is the desk and how fast would the calculator be traveling when it hits the floor?

 

4.  If a rocket in space is moving at a constant velocity of 9.8 m/s and then uses its propulsion system to accelerate to 10. m/s during a 3.0 minute burn, what would be the acceleration of the rocket?

 

*5. A car, initially traveling with a uniform velocity, accelerates at a rate of 1.0 m/s2 for a period of 12 seconds. If the car traveled 190 m during this 12 second period, what was the velocity of the car when it started to accelerate?

 

*6.  A ball rolls down an inclined plane with a constant acceleration of 2.5 m/s2:

            a) how fast is the ball traveling after 3 seconds?

            b) how far has the ball traveled in those 3 seconds?

            c) how far has the ball traveled by the time its velocity is 15 m/s?

 

*7.  If you travel one mile at a speed of 1000 mi/h and another mile at 1 mi/h, what is your average speed?

 

**8.     A pedestrian is running at his maximum speed of 6.0 m/s to catch a bus stopped by a traffic light. When he is 25 meters away from the bus the light changes and the bus accelerates uniformly at 1.0 m/s2. Find either; how far he has to run to catch the bus, or his frustration distance (closest approach). You may use graphs, charts, appropriate equations, tables, and/or computers.

 

Additional acceleration problems (with answers)

 1.  A body with an initial velocity of 8 m/s moves with a constant acceleration and travels 640 m in 40 seconds. Find its acceleration.
    (a = 0.4 m/s2)

 2.  A box slides down an inclined plane with a uniform acceleration and attains a velocity of 27 m/s in 3 seconds from rest. Find the final velocity and distance moved in 6 seconds (initially at rest).
    (Vf = 54 m/s, d = 162 m)

 3.  A car has a uniformly accelerated motion of 5 m/s2. Find the speed acquired and distance traveled in 4 seconds from rest.
    (Vf = 20 m/s, d = 40m)

4.  Before leaving the ground an airplane traveling with constant acceleration makes a run on the runway of 1800 m in 12 seconds. Find a) acceleration b) speed at which it leaves the ground c) distance traveled during the first and twelfth seconds.     (a) 25 m/s2 b) 300 m/s c) 12.5 m, 288 m)

 5. A marble is dropped from a bridge and strikes the water in 5 seconds. Calculate the speed with which it strikes and the height of the bridge.
    (Vf = 49 m/s, d = 122 m)

 6. A car starts from rest and accelerates uniformly to a velocity of 80 ft/s after traveling 250 ft. Find its acceleration.        
    (a=12.8ft/s2)

 7.  What velocity is attained by an object which is accelerated at 0.30 m/s2 for a distance of 50. m with a starting velocity of 0.0 m/s?
    (Vf = 6 m/s)


 

Page Last Updated: Friday March 02, 2007           Webmaster: Larry Jones                 Pickens County School District