SOLUTION: Terry throws a ball straight up. The initial height of the ball is 3 feet and has an initial velocity of 32 feet per second. The function is modeled by:
h(t) = -16t^2 + 32t + 3
Question 747356: Terry throws a ball straight up. The initial height of the ball is 3 feet and has an initial velocity of 32 feet per second. The function is modeled by:
h(t) = -16t^2 + 32t + 3
How long is the ball in flight? Round answer to nearest hundredth.
Which formula, process, etc. did you use to solve this problem?
You can put this solution on YOUR website! Terry throws a ball straight up. The initial height of the ball is 3 feet and has an initial velocity of 32 feet per second. The function is modeled by:
h(t) = -16t^2 + 32t + 3
How long is the ball in flight? Round answer to nearest hundredth.
Which formula, process, etc. did you use to solve this problem?
--------------------
The equation is a parabola with the vertex at max height.
Find the time at max ht.
Axis of Symmetry is t = -b/2a = -32/-32
t = 1
Find max ht
h(1) = -16 + 32 + 3 = 19 feet.
-------------
Find the time to fall
f(t) = -16t^2 + 19
Find t for f(t) = 0
-16t^2 + 19 = 0
t =~ 1.09 seconds
------
Total time in the air = 2.09 seconds
