A batter hits a baseball into the air. The height \( h \) in feet of the baseball after \( t \) seconus give the quadratic equation \( h = - 16 t ^ { 2 } + 64 t + 3 \) . (round your answers to two digits after the decimal sign.) 

a) What is the initial height of the ball? 

b) How high is the ball after \( 1 \) second? 

c) What is the maximum height of the ball? 

d) When did it reach the maximum height? 

e) When is the ball at a height of \( 3 \) feet?

f) When is the ball at a height of \( 51 \) feet? 

g) When will the ball hit the ground?