Question

A body starts from rest and moves with a uniform acceleration of `10ms^(-2)` for 5 seconds. During the next 10 seconds it moves with uniform velocity. Find the total distance travelled by the body (Using graphical analysis).

Answer 1

Velocity after 5 seconds = 0 + 10 `xx` 5
`" " = 50 m//s`
`v-t` curve for the situations is as follows :

Total distance travelled = Area under v-t curve
`" " = (1)/(2) (50xx 5) + 50 xx (15-5) = 625` m