Find all fixed points for the function by setting the function equal to x and solving the resulting equation for x.
-A projectile is launched upward from an initial height of 360 feet, and it lands on the ground after 6 seconds. What was the initial velocity of the projectile?
A) 26 feet/second
B) 36 feet/second
C) 46 feet/second
D) 30 feet/second

Question

Quizplus · Accepted Answer

The equation for the height of the projectile as a function of time is given by:
h(t) = -16t^2 + vt + 360
where v is the initial velocity in feet/second.

We are given that the projectile lands on the ground after 6 seconds, which means that h(6) = 0:
0 = -16(6)^2 + v(6) + 360
0 = -576 + 6v + 360
216 = 6v
v = 36

Therefore, the initial velocity of the projectile was 36 feet/second.

Find All Fixed Points for the Function by Setting the Function