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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.