A cyclist and his bicycle have a total mass of 81 kg. The cyclist starts from rest and rides in a straight line. The cyclist exerts a constant force of 135 N and the motion is opposed by a resistance of magnitude 9vN, where vms^-1 is the cyclist's speed at time is after starting.

i. Show that

ii. Solve this differential equation to show that v = 15(1 – e^-1/9t).

iii Find the distance travelled by the cyclist in the first 9s of the motion.

Transcribed Image Text:

9 dv 1. 9 15 - v dt