The vertical displacement of a point on a vibrating string is centimetres

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The vertical displacement of a point on a vibrating string is s(t)=4sin⁡(πt)s(t)=4\sin(\pi t) centimetres, where tt is in seconds. Find the instantaneous velocity at t=12t=\dfrac{1}{2} s. (a) 4π4\pi cm/s (b) 00 cm/s (c) 88 cm/s (d) −4π-4\pi cm/s

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