An ace footballer converted a penalty shot by kicking the football with a speed of 108 km h⁻¹. The estimated force they imparted was 800 N. The mass of the football was 0.4 kg. Calculate the time of contact between their foot and the ball.
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Speed = 108 km h −1 = 108 × 5 18 = 30 m s -1 . The ball starts from rest, so u = 0, v = 30 m s −1 .

Acceleration a = F m = 800 0.4 = 2000 m s -2 .

Using v = u + at: 30 = 0 + 2000 t , so t = 30 2000 = 0.015 s .

Time of contact with the football
Convert the speed
108 km h⁻¹ = 108 × 5/18 = 30 m s⁻¹
Find the acceleration
a = F m = 800 0.4 = 2000 m s -2
Use v = u + at with u = 0
30 = 2000 × t
t = 0.015 s — the boot touches the ball for only 15 milliseconds
← Back to: 6.5 Newton's Second Law of Motion
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