A particle $P$ moves in a straight line so that, $t$ s after passing a fixed point $O$, its ac

Question

A particle $P$ moves in a straight line so that, $t$ s after passing a fixed point $O$, its acceleration, $a$ ms${}^{-2}$ is given by $a = -3e^{-\frac{1}{3}t}$. Given that $P$ has an initial velocity of $7$ ms${}^{-1}$, find the value of $t$ when $P$ is instantaneously at rest. total distance travelled by $P$ between $t=0$ to $t=10$.

Accepted Answer

(a) $t = 3\ln \left( \frac{9}{2} \right) $ s $= 4.51$ s; (b) $17.9$ m

Kinematics - Velocity from Acceleration

Kinematics - Velocity from Acceleration

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