A particle travels in a straight line so that, $t$ seconds after passing a fixed point $O$, its

Question

A particle travels in a straight line so that, $t$ seconds after passing a fixed point $O$, its acceleration, $a$ $\text{m/s}^2$, is given by $a = t - 7$. Find the expression for $v$, given that the initial velocity is $-15$ $\text{m/s}$. Find the value of $t$ for which the particle is instantaneously at rest.

Accepted Answer

(a) $v=\dfrac12t^2-7t-15\text{ m/s}$ (b) $t=7+\sqrt{79}\text{ s}$

Kinematics - Velocity from Acceleration

Kinematics - Velocity from Acceleration

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