Question

Kyle shoots an arrow during an archery lesson at camp. The height of the arrow can be modeled by the

equation h = -2t (8t - 24), where h is the height in feet of the arrow and t is the time in seconds. How
long is the arrow in the air?
The arrow is in the air for
second(s).

Answer 1

The solutions are t = 0 and t = 1. Since starting time is 0, the arrow is in the air for 1 second.

Explanation:

Set the equation equal to zero.

−2t(8t − 8) = 0

Apply the Zero Product Property.

−2t = 0 or 8t − 8 = 0

Solve each equation for t.

t = 0 or 8t = 8

t = 1