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.

1 answer

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