A car initially at rest experiences uniform acceleration of 5 m/s2 for 6 sec. It maintains constant velocity for 14 sec and is then brought to rest in 5 sec by a uniform retardation.

a) Using the formula, find out how far the car has travelled.

b) Find the total angular displacement of the one of the wheels.

a.

break it up into three time segments:
a1. vf=at=30m/s (vavg=15m/s,
distance= vavg*t=90m
a2. vavg=30m/s
distance=30*14=420m
a3 vavg=15m/s
distance=15*5=65m

add the distances.

b. angular distance=distanceabove/circwheel * 2PI

the radius is not given, so you cannot find the angular displacement circwheel=2PIr