Physics-(general)

NEET Physics (general) MCQ Question

Type: MCQ-conceptual-Hard-Class 11

A block attached to a spring moves on a frictionless surface. If the displacement x from the wall is given by x(t) = A cos(ωt), what is the expression for the velocity v(t) of the block?

A

v(t) = -Aω sin(ωt)

B

v(t) = Aω cos(ωt)

C

v(t) = A sin(ωt)

D

v(t) = -Aω cos(ωt)

Correct Answer

Option A

Detailed Explanation

The velocity is the derivative of displacement with respect to time. Given x(t) = A cos(ωt), the derivative v(t) is -Aω sin(ωt).

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