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The velocity-time graph of a particle mo...

The velocity-time graph of a particle moving along a straight line is shown is Fig. The rate of acceleration and deceleration is constant and it is equal to `5 m s^(-2)`. If the a average velocity during the motion is `20 m s^(-1)`, Then
.
The maximum velocity of the particle is .

A

`3` sec

B

`5` sec

C

`10` sec

D

`12` sec

Text Solution

Verified by Experts

The correct Answer is:
B
Average velocity
`=("Displacement")/("time interval")=("Area under v-t curve")/("time")`

`20=(1/2[25+25-2t]xx5t)/25rArr t=5, 20`
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ALLEN-KINEMATICS-EXERCISE-02
  1. Which of the following statements are true for a moving body?

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  2. If the velocity of the particle is given by v=sqrt(x) and initially pa...

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  4. The fig. shows the v-t graph of a particle moving in straight line. Fi...

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  6. A particle is projected from a point P with a velocity v at an angle t...

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  9. Two particle A and B projected along different directions from the sam...

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  10. Two particles P & Q are projected simultaneously from a point O on a l...

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  11. A particle of mass m movies along a curve y=x^(2). When particle has x...

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  12. A ball is projected on smooth inclined plane in direction perpendicula...

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  13. The horizontal range of a projectile is R and the maximum height attai...

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  14. In quick succession, a large number of balls are thrown up vertically ...

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  15. Acceleration versus velocity graph of a aprticle moving in a straight ...

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  16. In the figure shown the accelerationof A is a(A) = (15 hati + 15 hatj)...

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  17. Block B has a downward velocity in m//s and given by v(B)=U^(2)/2+U^(3...

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  18. If block A is moving with an acceleration of 5ms^(-2), the acceleratio...

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  19. In the figure acceleration of A is 1m//s^(2) upward, acceleration of B...

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  20. Blocks P and R starts from rest and moves to the right with accelera...

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