Question

A body starting from rest accelerates uniformly along a straight line at the rate of 10 m/s2 for 5 secs. It moves for 2 secs with a uniform velocity of 50 m/s. Then it retardes uniformly and comes to rest in 3 secs. Draw a velocity -time graph of the body and find the total distance travelled by the body

Answer 1

Draw the graph
Total area of the graph represent the total distance travels by the body
S1+s2+s3=1/2*10*5*5+2*50+1/2*50*3=125+75+75=275m