Question

what is the quantity measured by the area covered below the velocity time graph​

Answer 1

Let the velocity of the body at time (t) be v.

Area of the shaded region = length × breath

where,

Length = t

Breath = v

Area = vt = velocity × time ...(i)

We know,

Velocity = Distance/Time

Therefore, Distance = Velocity x Time ...(ii)

From equations (i) and (ii),

Area = Distance

Hence, the area occupied below the velocity-time graph measures the distance covered by the body