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A truck is travelling at a constant velocity of 10 m/s when the driver sees a rabbit 50 m in front of him. He hits the brakes to stop the truck. The truck decelerates at a rate of -1.25 m/s^2. Reaction time is 0,5 sec. Will the truck hit the rabbit?
Vo = 10 m/s
Distance from rabbit = 50 m
Reaction time = 0.5 s
Distance travelled after reaction = 10 * 0.5 = 5 m
Distance from rabbit now = 50 – 5 = 45 m
Vt = Vo + at
0 = 10 – 1.25t
t = 8 s = time travelled by truck
Distance travelled by truck
= S = Vot + 0.5at²
= 10 * 8 – 0.5 * 1.25 * 8²
= 40 m
40 m < 45 m
Hence the truck will not hit the rabbit.