Using a model of the prototype artillery, a ball is fired into the air with an initial upward velocity of 48 ft/s. Its height, h, in feet after t seconds is given by the function: What height will the ball be when 2 seconds has passed?
h(t)=-16t2+48t+4
h(2)=-16(2)2+48(2)+4
h(2)=-16(4)+96+4
h(2)=-64+96+4
h(2)=36 ft
In how many seconds will the ball reach its maximum height?
What is the ball’s maximum height?
After how many seconds will the ball hit the ground?