Question

he figure shows a velocity versus time graph for a portion of Frank's warm-up run. What is Frank's total displacement in meters?

Answer 1

For the first interval

Time 0 to 9 seconds

$d_1=2(9-0)=18m$

For the second interval

time 9 to 12 seconds

$d_2=-3(12-9)=-3(3)=-9m$

For the third interval

time 12 to 14 seconds

$d_3=-1(14-12)=-1(2)=-2m$

For the fourth interval

time 14 to 22 seconds

$d_4=-2(22-14)=-2(8)=-16m$

For the total displacement

$d=18-9-2-16=-9m$

The displacement is -9m