A particle moves with amplitude A and period T, as shown in the figure. Express the following in terms of A and T and numerical constants (if necessary). The time at which the phase is π/2. The maximum velocity. The maximum acceleration. The first time for t > 0 at which the acceleration is a maximum.

A particle moves with amplitude A and period T, as shown in the figure. Express the following in terms of A and T and numerical constants (if necessary). The time at which the phase is π/2. The maximum velocity. The maximum acceleration. The first time for t > 0 at which the acceleration is a maximum.

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Question

A particle moves with amplitude A and period T, as shown in the figure. Express the following in terms of A and T and numerical constants (if necessary).