MathDB

A car is being driven so that its wheels, all of radius

a

feet, have an angular velocity of

\omega

radians per second. A particle is thrown off from the tire of one of these wheels, where it is supposed that

a \omega^{2} >g

. Neglecting the resistance of the air, show that the maximum height above the roadway which the particle can reach is

\frac{(a \omega+g \omega^{-1})^{2}}{2g}.

B5