A particle moves in a straight line. Its velocity $v$ m/s at time $t$ seconds is given by \(v =

Question

A particle moves in a straight line. Its velocity $v$ m/s at time $t$ seconds is given by $v = t^2 - 5t - 6$, The displacement $s$ metres, at time $t$ seconds is measured from a fixed origin $O$.

When $t = 0$, its displacement, $s=5$ metres, find

the value of $t$ when the particle is at rest and the displacement at this instant,
the displacement when $t = 2$ and the total distance travelled by the particle in the first $2$ seconds

Accepted Answer

(a) $t=6\text{ s}$, $s=-49\text{ m}$; (b) $s=-\dfrac{43}{3}\text{ m}$, total distance $\dfrac{58}{3}\text{ m}$

Kinematics - Motion Conditions, Rest and Direction

Kinematics - Motion Conditions, Rest and Direction

Video Solution:

Solution:

Solution locked