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 sv = ?

A car moving at 14 m/s speeds up with a constant acceleration of 3.5 m/s² for 5 s. Find its final speed v.

v₀ = 14 m/sa = 3.5 m/s²t = 5 s
v = m/s
2.Easy
t (s)v (m/s)9 s27

A car moving at 0 m/s speeds up with a constant acceleration of 3 m/s² for 9 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 3 m/s²t = 9 s
s = m
3.Medium
t (s)v (m/s)4.444 s33.33

A car driving at 120 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. Find the braking distance s.

v₀ = 120 km/ha = −7.5 m/s²v = 0
s = m
4.Medium
a = ?s = 2100 m

A plane needs a speed of 260 km/h to take off and the usable runway is 2100 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 260 km/hs = 2100 m
a = m/s²
5.Hard
a = 24 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 24 m/s² for 2 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax the rocket reaches.

a = 24 m/s²t1 = 2 sg = 9.81 m/s²
hmax = m
6.Hard
t (s)v (m/s)12 s

A tram starts from rest and accelerates at 3 m/s² for 12 s, then runs at constant speed for 13 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 3 m/s²t1 = 12 st2 = 13 sa3 = −5 m/s²
s = m

Answer key

  1. 1. v = 31.5 m/s
  2. 2. s = 121.5 m
  3. 3. s = 74.07 m
  4. 4. a = 1.242 m/s²
  5. 5. hmax = 165.4 m
  6. 6. s = 813.6 m

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