Question

Which pair of graphs represent the same motion of an object

Answer 1

Answer:

C

Explanation:

In this pair of graph we have the displacement versus time graph as concave up and if we consider it to be parabolic function then as we know that the velocity is given by the slope of the displacement-time graph.

$v=\frac{ds}{dt}$

where:

s= displacement

t= time

We get the linear inclined slope graph of the velocity versus time graph which stands true if we differentiate a parabolic function.

Also observe that at time t=0 we have slope of displacement graph as zero so  corresponding to it we get velocity as zero in the velocity graph.

Answer 2

The answer would be C