A body moves for a total of nine second started from rest with uniform acceleration and then with uniform retardation, which is twice the value of acceleration and then stops. The duration of uniform acceleration

Question

Dr. Abubacker · Accepted Answer

(d) Let acceleration is $a$ and retardation is $- 2a.$ Then for accelerating motion
$\ \ t_{1} = \frac{v}{a}$ ….(i)
For retarding motion, $t_{2} = \frac{v}{2a}$ ….(ii)
Given,
$t_{1} + t_{2} = 9\  \Rightarrow \frac{v}{a} + \frac{v}{2a} = 9\  \Rightarrow \frac{3v}{2a} = 9\  \Rightarrow \frac{v}{a} = 6$
Hence, duration of acceleration, $t_{1} = 6\ s$

Q. A body moves for a total of nine second started from rest with uniform acceleration and then with uniform retardation, which is twice the value of acceleration and then stops. The duration of uniform acceleration

Explanation

Reviewed by Dr. Abubacker

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