The velocity of a particle is given by meters per second

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The velocity of a particle is given by

v(t)=\sin\bigl(t^{2}\bigr)

meters per second. Determine the particle’s acceleration at

t=\sqrt{\dfrac{\pi}{2}}\text{ s}