Question

A man travelling in a car with a maximum constant speed of 20 m/s watches the friend start off at a distance 100 m/s ahead on a motor cycle with constant acceleration â€˜aâ€². The maximum value of â€˜aâ€² for which the man in the car can reach his friend is

A
2 m/s2
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B
1 m/s2
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C
4 m/s2
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D
0.5 m/s2
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Solution

The correct option is A 2 m/s2v2−u2=2aSrel For the man to reach his friend, his friend should not be faster than him until he moves a relative displacement of 100 m w.r.t his friend Initial velocity of motorcycle =0 ⇒202>2a(100) ⇒a<2 m/s2 Hence, the maximum value of a is 2 m/s2

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