Question

The function h(t)=−16t2+32t
models a firework's height over time. According to the graph, at what time does the firework hit the ground?

Graph of a parabolic trajectory showing height vs. time with data points.
(1 point)
Responses

16 seconds
16 seconds

1 second
1 second

0 seconds
0 seconds

2 seconds

Answer 1

Set h(t)=0: −16t^2+32t=0 → −16t(t−2)=0, so t=0 or t=2. After launch it returns to the ground at t = 2 seconds.