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A particle moves in a straight line with...

A particle moves in a straight line with a constant acceleration. It changes its velocity from `10 ms^-1` to `20 ms^-1` while passing through a distance `135 m` in `t` seconds. The value of `t` is.

A

1) 10

B

2) 1.8

C

3) 12

D

4) 9

Text Solution

Verified by Experts

The correct Answer is:
D

Let u and v be the first and final velocity of particle and a and s be the constant accleration and distance by it
using `v^(2)= u^(2)+2as`
. `Rightarrow(20)^(2)= (10)^(2)+ 2axx135`or
`a= (300)/(2xx135)= (10)/(9)ms^(-2)`
Now using , V =u + at
`t= (v-u)/(a)= (20-10)/(10//9)= (10xx9)/(10)=9s`
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