The expression for displacement is x = sin(5t). The expression for acceleration is ______

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Editor">Editor Staff asked 1 year ago

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
Select the correct answer from above options 
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Editor">Editor Staff answered 1 year ago

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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