Question

Find the distance covered in time t=0 to t=7s and maximum value of acceleration during this interval in the given graph ​

Answer 1

To get distance from a velocity-time graph, we need to find the area under the curve

Here, the area between t=0 and t=7 is total area

Total area = (area between t=0 and t=2) + (area between t=2 and t=3) + (area between t=3 and t=4) + (area between t=4 and t=7)

Total area = (1/2)*2*20 + 20*1 + (1/2)*(20+60)*1 + (1/2)*3*60

                 = 20 + 20 + 40 + 90

                 = 170 m

Therefore, the distance covered in the given time period is 170 m.