One Dimensional Motion Problems

Walk through our one dimensional motion practice problem set below. These have problems with constant motion, accelerated motion, and acceleration due to gravity mixed in.

One Dimensional Motion Concept Map

This concept map helps you choose the right equation. It helps you think about givens written as words or associated with an object in free fall.

One Dimensional Motion Equations

Note About Our 1D Motion Solutions:

• We did not put a direction in the answer when a direction was not specified and it was not a gravity question. On any of those questions the direction you could add would be forward.
• We did not use significant figures in our answers and just included a few decimal points where appropriate
• All solutions are explained in the video here

Mixed 1D Motion Problem Set

1. What is the final velocity of a bicycle starting at 2.0 m/s accelerating at 1.5 m/s 2 for 3.0 seconds?

See Solution

v_f = 6.5 m/s

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2. What is the initial velocity of a ball thrown down off a building that hit the ground at 32 m/s after 2.0 seconds?

See Solution

v_i = 12 m/s down

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3. What was the average velocity of a plane that takes 3600 seconds to travel 417600 meters?

See Solution

v = 116 m/s

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4. You are driving at 12 m/s when you hit the gas to pass another car. What is your final velocity if you accelerated at 3.2 m/s 2 for 60 meters?

See Solution

v_f = 22.98 m/s

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5. How far has a ball fallen downward from rest by the time it is traveling 32 m/s downward

See Solution

X = 51.2 m down

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6. How tall is a building if a ball dropped from rest takes 9 seconds to hit the ground?

See Solution

X = 405 m tall

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7. How long does it take you to travel 200 meters if you constantly accelerate from 2.0 m/s to 20 m/s?

See Solution

t = 18.2 s

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8. How far have you traveled after going a constant 5.0 m/s for 8.0 seconds?

See Solution

X = 40 m

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9. What is the acceleration of a Ford Mustang GT that can go from 0 to 26.8 m/s in 5 seconds?

See Solution

a = 5.36 m/s 2

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10. How far has a ball traveled after 3 seconds when thrown downward at a velocity 3.6 m/s?

See Solution

X = 55.8 m down

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11. What is an objects acceleration that takes 500 meters to go from 5.0 m/s to 80 m/s?

See Solution

a = 6.375 m/s 2

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12. How far have you moved while constantly accelerating from a velocity of 2.0 m/s to 15 m/s in 10 seconds?

See Solution

X = 110 m

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13. What is the acceleration of a car that travels a constant velocity of 3.0 m/s for 5 s?

See Solution

a = 0 m/s 2

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