First slide

Rectilinear Motion

Question

A particle moves along a straight line such that the displacement at any time is given by $S = 2 t^{3} + 4 t^{2} - 3 t + 5 m$ what is the velocity at $t = 1 S$

Moderate

A

5 m/s
B

7 m/s
C

8 m/s
D

11 m/s

Solution

$\begin{array}{l} Given S = 2 t^{3} + 4 t^{2} - 3 t + 5 \\ \begin{matrix} ∴ Velocity V = \frac{d s}{d t} \\ = 6 t^{2} + 8 t - 3 \end{matrix} \\ \begin{aligned} ∴ Att t = 1 S Velocity, V & = 6 (1)^{2} + 8 (1) - 3 \\ = 6 + 8 - 3 \\ = 11 m / s \end{aligned} \end{array}$

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