The velocity v of a moving particle varies with displacement as x = v + 1 , the acceleration of the particle at x = 5 unit will be-

Question

The velocity v of a moving particle varies with displacement as x = v + 1 ​ , the acceleration of the particle at x = 5 unit will be-

TestHub · Accepted Answer

Given x = v + 1 ​ . Squaring both sides, x 2 = v + 1 , so v = x 2 − 1 . Acceleration a = d t d v ​ = d x d v ​ d t d x ​ = v d x d v ​ . d x d v ​ = 2 x . So, a = ( x 2 − 1 ) ( 2 x ) = 2 x 3 − 2 x . At x = 5 , a = 2 ( 5 ) 3 − 2 ( 5 ) = 2 ( 125 ) − 10 = 250 − 10 = 240 units.

Physics - Kinematics Question with Solution | TestHub

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