algebra 2
posted by kylie .
A player bumps a volleyball with an initial vertical velocity of 20 ft/s. The height of the ball can be model by the function h(t) = 16t2 + 20t + 4, where h is the height in feet and t is the time in seconds.
a. What is the maximum height of the ball? ( use your graphing calculator or find the vertex)
d. Suppose the volleyball were hit under the same conditions, but with an initial velocity of 32 ft/s. How much higher would the ball go?

your equation should have been
h(t) = 16t^2 + 20t + 4
a) It is your graphing calculator, I don't know what you have nor do I know how to use yours.
Follow the steps outlined in the manual to answer a)
OR
for f(x) = ax^2 + bx + c
the x of the vertex is b/(2a)
so for yours, the t of the vertex is 20/(32) = .625
h(.625) = 16(.625^2) + 20(.625) + 4 = 10.25
so the vertex is (.625, 10.25)
then the maximum height is 10.25 ft.
OR
h '(t) = 32t + 20 = 0 for a max/min of h(t)
32t = 20
t = .625 as above, find h(.625)
OR
complete the square, a method you might have learned in your course.
b) change 20t to 32t in your equation and repeat a)
Respond to this Question
Similar Questions

algebra
An object is released into the air at an initial height of 6 feet and an initial velocity of 30 feet per second. The object is caught at a height of 7 feet. Use the vertical motion model, h = 16t^2+vt+s, where h in the height, t is … 
algebra
Patty is only 7 years old, but she insists she can play basketball with a regulationheight hoop. She can throw the ball with an initial velocity of 11 feet per second. The equation for the height of the ball is y = −16t2 + vt … 
algebra
Patty is only 7 years old, but she insists she can play basketball with a regulationheight hoop. She can throw the ball with an initial velocity of 11 feet per second. The equation for the height of the ball is y = −16t2 + vt … 
algebra
A ball is thrown into the air with an upward velocity of 28 ft/s. Its height (h) in feet after t seconds is given by the function h = –16t² + 28t + 7. How long does it take the ball to reach its maximum height? 
Algebra
A ball is thrown into the air with an upward velocity of 28 ft/s. Its height (h) in feet after t seconds is given by the function h = –16t² + 28t + 7. How long does it take the ball to reach its maximum height? 
math
A soccer player kicks a ball and gives it an initial upward velocity of 47 feet per second. If everyone waits for the ball to bounce, how long will it be in the air? 
math
You are playing volleyball. You hit the volleyball with an initial vertical velocity of 15 feet per second when it is 4 feet above the ground. Find how many seconds it takes to reach the maximum height, the maximum height reached, … 
math
A robotic basketball player tosses a ball upward from a height of 7 feet, at an initial speed of 111 feet per second. The height of the ball is modeled by the equation: h=−16t2+111t+7, where h is the height above the ground in … 
algebra 2
A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96 feet per second. After t seconds, the height of the ball above the ground is s(t) = 16t2+ 96t + 200. a. After how many seconds … 
Algebra
A ball is thrown into the air with an initial upward velocity of 60 ft/s. Its height (h) in feet after t seconds is given by the function h = –16t² + 60t + 6. What will the height be at t = 3 seconds?