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The v-s and v^(2)-s graph are given for ...

The `v-s` and `v^(2)-s` graph are given for two particles. Find the accelerations of the particles at `s=0`.
.

A

-8, -0.2

B

9, 0.2

C

8, 0.3

D

9, 0.3

Text Solution

Verified by Experts

The correct Answer is:
A
`a_(1)=(vdv)/(ds)`, where `v=20 m s^(-1)` (at s=0)
and `(dv)/(ds)=-(2)/(5)=(a_(1))/(v) =a_(1)/(20)`
Then, `a_(1) =-8 m s^(-2)`
`a_(2)=(1)/(2)(d(v^(2)))/(ds)`, where `(d(v^(2)))/(ds) =-(2)/(5)`
Then, `a_(2)=-0.2 m s^(-2)`.
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