The following velocity-time graph represents a particle moving in the positive x-direction . Analyse its motion from 0 to 7s . Calculate the displacement covered and distance travelled by the particle from 0 to 2s

Explanation

As per graph,
(a) From 0 to 1.5s the particle is moving in a opposite direction.
From 1.5s to 2s the particle is moving with increasing velocity.
From 2s to 5s velocity of the particle is constant of magnitude `1ms^(-1)`
From 5 to 6s velocity of the particle is decreasing.
From 6s to 7s the particle is at rest.
(b) Distance covered by the particle - Arca covered under (v-t) graph
`=(1)/(2)xx2xx1.5+(1)/(2)xx1xx0.5=1.5m+0.25m=1.75m`
Displacement of the particle `=-(1)/(2)xx2xx1.5+(1)/(2)xx1xx0.5`
`=-1.5m` to `0.25m=-1.25`