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The expression for displacement is x = sin(5t). The expression for acceleration is ______(a) 5sin(5t)(b) 25cos(5t)(c) -25sin(5t)(d) -5cost(5t)This question was addressed to me by my college professor while I was bunking the class.The question is from Motion in a Straight Line in division Motion in a Straight Line of Physics – Class 11

Answer»

The correct OPTION is (a) 5sin(5t)

Explanation: Acceleration = dv/dt = d^2x/dt^2. The velocity (V) can be expressed as, v = dx/dt = 5cos(5t). Hence acceleration (a) BECOMES, a = dv/dt = -25sin(5t).



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