American astronauts on the moon hit a golf ball into space. The height of the ball is represented by the equation f(t)=-2.7t^2+13.5t+14, where t represents time in seconds since the ball was hit a f(t) represents the height of the ball in feet. a) Ignoring the context of the problem, how many solutions exist?
b) Situationally, how many solutions exist?
c) To the nearest hundredth of a second, after how much time does the ball hit the ground?
d) To the nearest tenth of a foot, what is the greatest height the ball achieves?
e) To the nearest hundredth of a foot, what is the height of the ball after 3.25 seconds?