A bad punter on a football team kicks a football approximately straight upward with an initial velocity of 89 ft/sec.

a. If the ball leaves his foot from a height of 4 ft, write an equation for the vertical height s (in ft) of the ball t seconds after being kicked.

b. Find the time(s) at which the ball is at a height of 102.2125 ft. Round to 1 decimal place.