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)3 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 2.5 m/s² for 3 s. Find its final speed v.

v₀ = 6 m/sa = 2.5 m/s²t = 3 s
v = m/s
2.Easy
t (s)v (m/s)12 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 3 m/s² for 12 s. Find its final speed v.

v₀ = 4 m/sa = 3 m/s²t = 12 s
v = m/s
3.Medium
t (s)v (m/s)1.4 s16.67

A driver moving at 60 km/h sees an obstacle. Her reaction time is 1.4 s, after which the car brakes with a constant deceleration of 8 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 60 km/htr = 1.4 sa = −8 m/s²
d = m
4.Medium
a = ?s = 2300 m

A plane needs a speed of 300 km/h to take off and the usable runway is 2300 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 2300 m
a = m/s²
5.Hard
v₀ = 19 m/s40 m

A ball is thrown straight up at 19 m/s from the edge of a roof 40 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 = 19 m/sh₀ = 40 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 13 m/s20 m

A ball is thrown straight up at 13 m/s from the edge of a roof 20 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 = 13 m/sh₀ = 20 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 13.5 m/s
  2. 2. v = 40 m/s
  3. 3. d = 40.69 m
  4. 4. a = 1.51 m/s²
  5. 5. t = 5.387 s
  6. 6. t = 3.74 s

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