Question

Answer the following questions using the graph at the right (attatched). The graph shows the height h in feet of a snowball t seconds after it is launched. The path of the snowball is given by the equation: h = -16t^2 + 128t

How long is the snowball in the air? Explain how you know the answer based on the graph

Answer 1

8secs

Explanation:

To calculate how long the ball stays in air, we need to find the time it takes to reach the max height first

The ball reaches its max height when dh/dt = 0.

-32t+128=0

32t = 128

t = 128/32

t = 4secs

The time the ball spent in air will be;

t = 2(4)

t = 8secs

Hence the ball spent 8secs in air