A rocket is launching vertically upward as shown in Figure Q1. Initially at t = 0, s = 0 and v= 0. The rocket starts to move with a constant acceleration of 5 m/s² from the ground (s = 0) for a time interval 0< t<3s. Then the rocket travels with constant velocity for the next 10 seconds. Then it accelerates again with constant acceleration at 7 m/s² until it is self-exploded when the velocity reached 29 m/s. a. plot the (a-f) graph for the whole motion b. calculate the altitude of s at t = 8s c. plot the (v-f) graph and determine the total distance travelled

A rocket is launching vertically upward as shown in Figure Q1. Initially at t = 0, s = 0 and v= 0. The rocket starts to move with a constant acceleration of 5 m/s² from the ground (s = 0) for a time interval 0< t<3s. Then the rocket travels with constant velocity for the next 10 seconds. Then it accelerates again with constant acceleration at 7 m/s² until it is self-exploded when the velocity reached 29 m/s. a. plot the (a-f) graph for the whole motion b. calculate the altitude of s at t = 8s c. plot the (v-f) graph and determine the total distance travelled