Question

A particle is moving with speed v in a straight line. If the particle start decelerating with an acceleration a and then it achieved same speed after the time

(1) $\frac{2v}{a}$
(2) $\frac{v}{a}$
(3) $\frac{v}{2a}$
(4) $\frac{4v}{a}$

Answer 1

Dear Student,

◆ Answer -

(1) 2v/a

● Explanation -

When particle starts decelerating,

v' = v - at

At a point when velocity will be zero,

0 = v - at

t = v/a

Then the particle will go in negative direction starting from rest,

v" = v' - at'

-v = 0 - at'

t' = v/a

Therefore, total time taken will be -

T = t + t'

T = v/a + v/a

T = 2v/a

Therefore, particle will again achieve same speed after time 2v/a.

Best luck dear...

Answer 2

Answer:

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