Golf Ball Tees
Golf Ball Tees
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What is the initial velocity of a golf ball?
Agolf ball is hit off a tee with an initial velocity of 128 feet per second. If h(t)=-16t^2 +128t is the equation that models this event,
a)after how many seconds will the the golf ball reach a height of exactly 112 feet?
b)after how many seconds will the ball reach its maximum height?
c)what is the maximum height of the golf ball?
d)after how many seconds will the ball touch the ground?
PLEASE HELP!!!! i have NO IDEA how to do this. explain step by step.
a) -16t^2 +128t =112
-t^2 + 8t - 7 = 0
t^2 - 8t + 7 = 0
(t - 1)(t - 7) = 0
t = 1 , 7 => at 1 sec and 7 sec in the way up and down respectively
b) a = -16 < 0 , the parabola opens down which makes the vertex at the maximum hence:
t = -b/2a = -128/-32 = 4 sec => time to reach the max h.
c) h(4) = 256 feet max h
d) t^2 - 8t = 0
t(t - 
- 0
t = 0, 8 => hence after 8 seconds it will hit the ground.
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