First slide

Rectilinear Motion

Question

A particle moves along x-axis in such a way that its coordinate (x) varies with time (t) according to the expression $x = 6 t^{2} + 5 t + 2$ Its initial velocity is

Moderate

A

3 m/s
B

-5 m/s
C

5 m/s
D

-3 m/s

Solution

$\begin{array}{l} Given x = 6 t^{2} + 5 t + 2 \\ ∴ Velocity V = \frac{d x}{d t} = 12 t + 5 \end{array}$
The velocity at t=0 is known as initial velocity.
$∴ Initial velocity V = 5 m / s$

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