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)7 sv = ?

A car moving at 16 m/s speeds up with a constant acceleration of 0.5 m/s² for 7 s. Find its final speed v.

v₀ = 16 m/sa = 0.5 m/s²t = 7 s
v = m/s
2.Easy
h = 20 m

A stone is dropped from rest from a bridge 20 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 20 mg = 9.81 m/s²
t = s
3.Medium
t (s)v (m/s)3.636 s20

A car driving at 72 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −5.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)0.8 s15

A driver moving at 54 km/h sees an obstacle. Her reaction time is 0.8 s, after which the car brakes with a constant deceleration of 6 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 54 km/htr = 0.8 sa = −6 m/s²
d = m
5.Hard
t (s)v (m/s)5 s

A tram starts from rest and accelerates at 3 m/s² for 5 s, then runs at constant speed for 26 s, and finally brakes at 3 m/s² until it stops. Find the total distance s between the two stops.

a1 = 3 m/s²t1 = 5 st2 = 26 sa3 = −3 m/s²
s = m
6.Hard
t (s)v (m/s)6 s

A tram starts from rest and accelerates at 1.5 m/s² for 6 s, then runs at constant speed for 22 s, and finally brakes at 2 m/s² until it stops. Find the total travel time t.

a1 = 1.5 m/s²t1 = 6 st2 = 22 sa3 = −2 m/s²
t = s

Answer key

  1. 1. v = 19.5 m/s
  2. 2. t = 2.019 s
  3. 3. s = 36.36 m
  4. 4. d = 30.75 m
  5. 5. s = 465 m
  6. 6. t = 32.5 s

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