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
t (s)v (m/s)5 s25

A car moving at 10 m/s speeds up with a constant acceleration of 3 m/s² for 5 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 3 m/s²t = 5 s
s = m
2.Easy
v = ?h = 15 m

A stone is dropped from rest from a bridge 15 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 15 mg = 9.81 m/s²
v = m/s
3.Medium
t (s)v (m/s)t = ?15

A car driving at 54 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 54 km/ha = −7.5 m/s²v = 0
t = s
4.Medium
a = ?s = 2000 m

A plane needs a speed of 300 km/h to take off and the usable runway is 2000 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 2000 m
a = m/s²
5.Hard
v₀ = 6 m/s5 m

A ball is thrown straight up at 6 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 6 m/sh₀ = 5 mg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)10 s

A tram starts from rest and accelerates at 2.5 m/s² for 10 s, then runs at constant speed for 7 s, and finally brakes at 2 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2.5 m/s²t1 = 10 st2 = 7 sa3 = −2 m/s²
s = m

Answer key

  1. 1. s = 87.5 m
  2. 2. v = 17.16 m/s
  3. 3. t = 2 s
  4. 4. a = 1.736 m/s²
  5. 5. hmax = 6.835 m
  6. 6. s = 456.3 m

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