Question

A particle of mass 5kg is at rest initially.A force acts on it whose magnitude changes with time. The force time graph is shown below. The velocity of the particle after 10second is.:

Answer 1

You can get value of F*t ( Force x time) by the area of force time graph.

but Newton's second law states that net force is equal rate of change of momentum of the body.

F = (mv -mu)/t

F*t = mv - mu

if you want to calculate velocity after 10s, you should get area before 10s.

Area of the graph = mv - 0 ( ∵initial velocity=u=0)

Area of the graph = 5*v

velocity = V = Area of the graph/5