Question

Height

.

Lana is throwing a discus at a school competitoin. The height of the discus
can be modeled by the equation y=−16x
2
+32x+4, where y represents the
height in feet of the discus in seconds.
Determine the number of seconds for the discus to reach the maximum height.

Answer 1

1 secs

Explanation:

Given the height of the discus can be modeled by the equation y=−16x ^2 +32x+4, where y represents the height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.

Velocity v = dy/dx = 0

dy/dx = -32x + 32

0 = -32x + 32

32x = 32

x = 1 secs

Hence it will take the discus 1 secs to reach its maximum height