Question

The figure gives the acceleration a versus timet for a particle moving along an x axis. Thea-axis scale is set by a_s = 16.0 m/s². At t = -2.0 s, the particle's velocity is 7.00 m/s. What is its velocity at t = 6.0 s?

Answer 1

here,

as = 16 m/s^2

let the velocity of particle at t = 6 s be v2

the velocity at t = - 2 s is v1 = 7 m/s

from the graph

v2 - v1 = area under the curve

v2 - v1 = 0.5 * (4 - ( -2)) * (24 - 0) + 0.5 * ( 6 - 4) * ( 8 - 0)

v2 - 7 = 80

v2 = 87 m/s

the velocity at t = 6s is 87 m/s