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Q.

A particle starts moving from rest at x=0 along straight line and it is subjected to the acceleration which varies with its position as shown in the figure. Then

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a

Acceleration at x = 60m is -13.5m /s2   

b

Velocity at x =60m is 46.48m / s 

c

Velocity at x =150m is 58.1m / s

d

Velocity will be maximum at x = 150m

answer is A, B, D.

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Detailed Solution

From the graph, dvdx=22.522.5150x
When velocity is maximum, its derivative (a) is zero
 

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