Page No 107:
Question 4:
What is the quantity which is measured by the area occupied below the velocity−time graph?
Distance
The graph shows the velocity−time graph of a uniformly moving body.
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,
∴ Displacement = Velocity × Time…(ii)
From equations (i) and (ii),
Area = Displacement
Hence, the area occupied below the velocity−time graph measures the displacement covered by the body.
