The displacement, $s$ metres, of a particle from a fixed point $O$ is given by $s=10+12t-3t^2$

Question

The displacement, $s$ metres, of a particle from a fixed point $O$ is given by $s=10+12t-3t^2$, where $t$ is the time in seconds after observation begins. (i) Find the displacement of the particle when $t=3$. (ii) Find the time at which the particle is instantaneously at rest. (iii) Calculate the total distance travelled by the particle in the first $4$ seconds.

Accepted Answer

(i) $19\text{ m}$ (ii) $t=2\text{ s}$ (iii) $24\text{ m}$

Linear velocity from quadratic displacement

Linear velocity from quadratic displacement

Solution:

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