Kinematics worksheet with answers

Free printable Kinematics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A car moving at 10 m/s speeds up with a constant acceleration of 2.5 m/s² for 11 s. Find its final speed v.

v₀ = 10 m/sa = 2.5 m/s²t = 11 s

v = m/s

2.Easy

A car moving at 14 m/s speeds up with a constant acceleration of 2.5 m/s² for 8 s. Find its final speed v.

v₀ = 14 m/sa = 2.5 m/s²t = 8 s

v = m/s

3.Medium

A driver moving at 90 km/h sees an obstacle. Her reaction time is 1.5 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/ht_r = 1.5 sa = −4.5 m/s²

d = m

4.Medium

A car speeding at a constant 35 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2 m/s². How long does it take the police car to catch up? Find t.

v_car = 35 m/sa_police = 2 m/s²v_0,police = 0

t = s

5.Hard

A tram starts from rest and accelerates at 1 m/s² for 7 s, then runs at constant speed for 27 s, and finally brakes at 3.5 m/s² until it stops. Find the total travel time t.

a₁ = 1 m/s²t₁ = 7 st₂ = 27 sa₃ = −3.5 m/s²

t = s

6.Hard

Ball A is dropped from rest from a height of 50 m. At the same instant ball B is thrown straight up from the ground directly below at 26 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 50 mv_0B = 26 m/sg = 9.81 m/s²

t = s

Answer key

1. v = 37.5 m/s
2. v = 34 m/s
3. d = 106.9 m
4. t = 35 s
5. t = 36 s
6. t = 1.923 s

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