A cyclist travelling at 15 km/h changes velocity uniformly to 20 km/h in 1 min, maintains this velocity for 5 min and then comes to rest uniformly during the next 15 s. Draw a velocity/time graph and hence determine the accelerations in m/s2 (a) during the first minute, (b) for the next 5 minutes, and (c) for the last 10 s
![The velocity-time graph of a car moving along a straight road is shown in Figure 3 below. [Assumption: The car is travelling in a straight line. ] Figure 3 (Not drawn to scale) a) Determine the velocity of the car at time t = 1 s. b) Determine the acceleration of the car at time t = 5 s. c) Determine the rate of change of velocity of the car at time t = 7 s. d) Determine the displacement of the car from time t = 4 s to t = 6 s. e) Determine the average velocity of the car from time t = 0 s to t = hs, leave your answer in terms of h. f) When the car starts moving from rest at time t = 0 s, a lorry travelling with a uniform constant velocity of vm/s passes by the car. At t = 4 s, the car and lorry have the same displacement. Determine the value of v. g) When the car starts moving from rest at time t = 0 s, a motorcycle travelling with a uniform constant velocity of 16 m/s passes by the car. The motorcycle maintains this uniform velocity for 2 s before decelerating uniformly to rest at t = 10 s. The car overtakes the motorcycle at time t = ws, where 4 < w < 6. Determine the value of w.](https://www.doubtrix.com/uploads/editor/7775664077JfqMMcGvFj.png)
