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)12 s52

A car moving at 10 m/s speeds up with a constant acceleration of 3.5 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 3.5 m/s²t = 12 s
s = m
2.Easy
t (s)v (m/s)12 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 1 m/s² for 12 s. Find its final speed v.

v₀ = 8 m/sa = 1 m/s²t = 12 s
v = m/s
3.Medium
a = ?s = 2400 m

A plane needs a speed of 250 km/h to take off and the usable runway is 2400 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 250 km/hs = 2400 m
a = m/s²
4.Medium
t (s)v (m/s)t = ?16.67

A car driving at 60 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 60 km/ha = −4.5 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)10 s

A tram starts from rest and accelerates at 3 m/s² for 10 s, then runs at constant speed for 17 s, and finally brakes at 2.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 3 m/s²t1 = 10 st2 = 17 sa3 = −2.5 m/s²
s = m
6.Hard
v₀ = 14 m/s15 m

A ball is thrown straight up at 14 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 14 m/sh₀ = 15 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 372 m
  2. 2. v = 20 m/s
  3. 3. a = 1.005 m/s²
  4. 4. t = 3.704 s
  5. 5. s = 840 m
  6. 6. hmax = 24.99 m

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