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Engineering Dynamics · Particle kinematics in multiple coordinates

The position of a particle moving along a straight line is s = (0.40 sin(0.80 t)) m…

Problem

The position of a particle moving along a straight line is s = (0.40 sin(0.80 t)) m, where t is in seconds and the argument of the sine function is in radians. Determine the velocity and acceleration at t = 2.5 s, and determine the smallest t > 0 at which the particle is instantaneously at rest.

Hint

Differentiate the given s(t) with the chain rule; keep the 0.80 t argument in radians.

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