SOLUTION: Jacob is working on his volleyball serve. The rule h=4+35t-16t^2 gives you the height of the volleyball (in feet) t seconds after he serves it Explan what the 4 and the 35 in th

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Jacob is working on his volleyball serve. The rule h=4+35t-16t^2 gives you the height of the volleyball (in feet) t seconds after he serves it Explan what the 4 and the 35 in th      Log On

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Question 864092: Jacob is working on his volleyball serve. The rule h=4+35t-16t^2 gives you the height of the volleyball (in feet) t seconds after he serves it
Explan what the 4 and the 35 in the rule tell you about jacob's serve
4:
35:
2. Assuming that nobody touches the ball before it hits the floor, how long is the ball in the air? show and explain your work
3. What is the maximum and minimum height for the serve and at what time will that occur? show your work and explain your reasoning
4. The top of the net is 7.5 feet high. At what times is the ball at least 7.5 feet above the floor? show your work and explain your reasoning.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1)
35 is the initial velocity
4 is the height when served
h=4+35t-16t^2
2)
0=4+35t-16t^2
it is in the air from the serve till it hits the floor
at t = 2.2964
3) vertex
t=-b/2a
t=-35/2*-16=35/32
plug in 35/32 for t
h=4+35t-16t^2
h = 1481/64 maximum height
0 is the minimum height when it hits the floor
0=4+35t-16t^2
at t = 2.2964
4)
7.5=4+35t-16t^2
from t = 0.105044 to t = 2.08246