A car driver moving at a constant velocity of 30m/s sees a child crawl on the road 65m ahead. His reaction time was 0.5seconds after which he decides to decelerate the car uniformly at 10 m/s2. Determine;
1. Distance covered during the reaction time
2. Distance covered during deceleration 3. Did the car hit the child or not? Explain
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Answer:
1.
As during the reaction time there was no change in velocity,
v = s/t
s = vt
s = 30m/s x 0.5
s = 30 x 1/2
s = 15m.
2.
u = 30 m/s
a = -10 m/s^2
v = 0 m/s
Using the third equation of motion,
v^2 - u^2 = 2as
- 30^2 = 2 x (-10) x s
900 = 20s
s = 900/20
s = 45m
3.
No, car did not hit the child as the child was 65m away and the car travelled 60m before it stopped.
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