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The engine of a motoecycle can produce a...

The engine of a motoecycle can produce a maximum acceleration of `5 m//s^(2)`. Its brakes can produce a maximum retardation of `10 m//s^(2)`. What is the minimum time in which the motorcycle can cover a distance of `1.5 km`?

A

5 s

B

10 s

C

15 s

D

30 s

Text Solution

Verified by Experts

The correct Answer is:
D

`(v_(0))/(t_(1)) = 5` ….(1)
`(v_(0))/(t - t_(1)) = 10` ….(2)
`(1)/(2) xx t xx v_(0) = 1500` …(3)
Solve (1), (2) & (3) to get `t = 30 s`
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