Question

A particle experience an acceleration a = (4e–3t) m/s2 along positive x-axis, where t is time in s. If the initial velocity of the particle is 2 m/s along positive x-axis, the velocity of the particle when its acceleration becomes zero is


5 m/s2


10 m/s2


6 m/s2

Answer 1

Answer:

From the graph:a=

4

−3t

for t<4s

Given initial velocity u=12m/s

We know,

dt

dv

=a

dv=adt

∫

u

v

dv=∫

0

4

4

−3t

dt

v−12=

0

4

[

8

−3t

2

v−12=−3.

8

16

=−6

v=12−6=6m/s

In positive x direction.

Explanation:

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Answer 2

hope you understand

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