Question

WHAT IS THE RELATION BETWEEN DISTANCE AND TIME WHEN

1. BODY MOVING IN UNIFORM VELOCITY?

2. BODY MOVING WITH VARIABLE VELOCITY?

Answer 1

1. The body moving in uniform velocity has constant velocity. Therefore, the relation between distance and time is,
$$\begin{gathered} v=\frac{s}{t} \\ \Rightarrow s=vt \\ where,sisthedis\tan ce \\ visthevelocity \\ tisthetime \end{gathered}$$

2. The body moving with variable velocity can either be moving with uniform acceleration or non-uniform acceleration.
The relation between distance and time for the body moving with variable velocity but uniform acceleration can be given by the equation of motion :
$s=ut+\frac{1}{2}a{t}^2$