The height (in feet) of an arrow depends on the time (in seconds) that has been in the air. Suppose Qu’ran is standing on the ground and fires an arrow that has a height modeled by the function h(t) = -16t2 + 112t, where h(t) is the height of the arrow in feet and t is the time the arrow is in the air. Create a table of values, then sketch a graph to represent this function. How long does it take the arrow to reach the ground after being fired?

What is the maximum height that the arrow reaches? How long does it take the arrow to reach its maximum height?

What is the height of the arrow after 1.75 seconds? Is there another time that the arrow is at this height?

Suppose Qu’ran is standing on a platform that is elevated by 32 feet. Write an equation representing this situation and determine when the arrow hits the ground.