Diagram shows the velocity time graph for a particle moving in 16 seconds.

Find
a)The maximum acceleration of the particle

b)The deceleration of the particle

c)The total distance travelled by the particle

d)The average velocity of the particle

The detailed calculations are shown below;

Explanation:

a)The maximum acceleration of the particle:

  It is seen that the maximum change in velocity is at the time between 8s to 10s.

              Maximum acceleration:

                                                    =

                                                    = 10 m/

b) The deceleration of the particle

          The velocity of particle is decreased after 10s so,

                     deceleration = -

                                           = - 6.67 m/

c)The total distance traveled by the particle = Area under the curve

                               = * 4*20 + 4*20 +  * 2*20+ 2*20+ * 40*16

                                                       = 290 m

d)The average velocity of the particle =

                                                               =

                                                               = 18.12 m/s