1.Easy
A stone is dropped from rest from a bridge 30 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 = 30 mg = 9.81 m/s²
t = s
Kinematics worksheet with answers
2.Easy
A stone is dropped from rest from a bridge 25 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 = 25 mg = 9.81 m/s²
v = m/s
3.Medium
A car speeding at a constant 16 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3.5 m/s². How far from its starting point does the police car catch up? Find d.
vcar = 16 m/sapolice = 3.5 m/s²v0,police = 0
d = m
4.Medium
A car speeding at a constant 26 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2.5 m/s². How long does it take the police car to catch up? Find t.
vcar = 26 m/sapolice = 2.5 m/s²v0,police = 0
t = s
5.Hard
A tram starts from rest and accelerates at 2.5 m/s² for 6 s, then runs at constant speed for 8 s, and finally brakes at 3.5 m/s² until it stops. Find the total distance s between the two stops.
a1 = 2.5 m/s²t1 = 6 st2 = 8 sa3 = −3.5 m/s²
s = m
6.Hard
A tram starts from rest and accelerates at 2 m/s² for 6 s, then runs at constant speed for 23 s, and finally brakes at 4.5 m/s² until it stops. Find the total travel time t.
a1 = 2 m/s²t1 = 6 st2 = 23 sa3 = −4.5 m/s²
t = s
Answer key
- 1. t = 2.473 s
- 2. v = 22.15 m/s
- 3. d = 146.3 m
- 4. t = 20.8 s
- 5. s = 197.1 m
- 6. t = 31.67 s
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