Answer:
13 sec <===== see assumption below
Explanation:
If the cyclist is ACCELERATING at 1.2 m/s^2 ....it will not stop.
If the acceleration is - 1.2 m/s^2 , then:
vf = vo + a t
vf = final velocity = 0 vo = original v = 6.5m/s a = - 1.2 m/s^2
0 = 6.5 - 1/2 t then t = 13 sec
