math
posted by please help .
A ball is thrown into the air with an upword velocity of 36 ft/s. Its hight H in feet after t seconds is given by the function h=16t^2+36t+9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the balls maximum height

math 
Reiny
You want the vertex of this parabola.
the x of the vertex is b/2a
= 36/32 = 1.125 seconds
plug that in
h =  16(1.125)^2 + 36(1.125) + 9 = ....
Respond to this Question
Similar Questions

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 ball is thrown into the air with an upward velocity of 20 ft/s. Its height (h) in feet after t seconds is given by the function h(t) = –16t^2 + 20t + 2. How long does it take the ball to reach its maximum height? 
Algebra 1
A ball is thrown into the air with the in initial upward velocity of 45 ft/s. It's height (h) in feet after t seconds is given by the function h= 16t^2+45t+6. After about how many seconds will the ball hit the ground? 
Algebra 1
a ball is thrown into the air with an upward velocity of 32 ft per second. Its height h in feet after t seconds is given by the function h(t)=16t^2 +32t+6. How long does it take the ball to reach its maximum height? 
Math
A ball is thrown into the air with an upward velocity of 48ft/s. It's height h in feet after t seconds is given by the function h=16t^+48t+8. In how many seconds will the ball hit the ground? 
Math
Please help ! 1.)a catapult launches a boulder with an upward velocity of 122 feet per second. the height of the boulder, h, in feet after t seconds is givin by the function h(t)=16t^2+122t+10. what is the boulders maximum height … 
Algebra
A ball is thrown into the air with an upward velocity of 26 feet per second. Its height, h, in feet after t seconds is given by the function h(t) = –16t^2 + 26t + 5. a. How long does it take the ball to reach its maximum height? 
math
A baseball is thrown into the air with an upward velocity of 25 ft./s. It's height in feet after T seconds can be modeled by the function h(t)=16t^2 +25t+5. how long will it take the ball to reach it's maximum height? 
algebra
A ball is thrown into the air with an upward velocity of 40 feet per second. Its height, h, in feet after t seconds is given by the function h(t)=16t^2+40t+10. a. What is the ball’s maximum height? 
Algebra 1
A baseball is thrown into the air with an upward velocity of 30 ft/s. Its height h, in feet, after t seconds is given by the function h=16t^2+6. How long will it take the ball to reach its maximum height?