A robber, riding a bike on a straight road, sees a police van standing 190 m ahead and applies brakes. This causes the bike to slow down at a rate of 15 ms 2. If he takes 5s to stop the bike, explain whether it will or not hit the van.
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Answer:
He will cover 187.5 m distance while stopping the bike but he is expected not to hit the van which stands at 190 m.
Explanation:
Given,
Police van lies at a distance of 190 m.
Acceleration (a) = 15 m/s²
Time (t) = 5 s
Final Velocity (v) = 0 m/s
Initial Velocity (u) = Let it be u.
= v = u-at
= 0 = u-15*5
= 0 = u-75
= 75 m/s = u
Let the Distance be S.
S = ut-0.5at²
= S = (75*5) - 0.5(15*5*5)
= S = 375 - 0.5(375)
= S = 375-187.5
= S = 187.5 m
Final Answer is written above.
Hope it helps.
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