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)10 s48

A car moving at 8 m/s speeds up with a constant acceleration of 4 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 8 m/sa = 4 m/s²t = 10 s
s = m
2.Easy
v = ?h = 10 m

A stone is dropped from rest from a bridge 10 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 = 10 mg = 9.81 m/s²
v = m/s
3.Medium
a = ?s = 1800 m

A plane needs a speed of 300 km/h to take off and the usable runway is 1800 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 1800 m
a = m/s²
4.Medium
t (s)v (m/s)1.4 s22.22

A driver moving at 80 km/h sees an obstacle. Her reaction time is 1.4 s, after which the car brakes with a constant deceleration of 4 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 80 km/htr = 1.4 sa = −4 m/s²
d = m
5.Hard
v₀ = 8 m/s35 m

A ball is thrown straight up at 8 m/s from the edge of a roof 35 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 8 m/sh₀ = 35 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 10 m/s10 m

A ball is thrown straight up at 10 m/s from the edge of a roof 10 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 10 m/sh₀ = 10 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 280 m
  2. 2. v = 14.01 m/s
  3. 3. a = 1.929 m/s²
  4. 4. d = 92.84 m
  5. 5. t = 3.608 s
  6. 6. hmax = 15.1 m

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