SOLUTION: one of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h

Question 827056: one of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h(t)= -16t^2+39t. if the bell is 25ft above the ground, will it be hit by the ball?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
one of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h(t)= -16t^2+39t. if the bell is 25ft above the ground, will it be hit by the ball?
.
h(t)= -16t^2+39t
The "vertex" will be the max height of the ball.
t (at vertex) = -b/(2a)
t = -39/(2*(-16))
t = -39/(-32)
t = 1.21875 seconds
.
Max height at that time is:
h(1.21875)= -16(1.21875)^2+39(1.21875)
h(1.21875)= -16(1.4853515625)+39(1.21875)
h(1.21875)= -23.765625+47.53125
h(1.21875)= 23.765625
.
Answer: NO

RELATED QUESTIONS
One of the games at a carnival involves trying to ring a bell with a ball by hitting a... (answered by josmiceli)

One of the games at a carnival involves trying to ring a bell with a ball by hitting a... (answered by richwmiller)

Wendy has 35 tickets for games at a carnival she used one fits the tickets to play the... (answered by fractalier)

You are hitting baseballs. When tossing the ball into the air, your hand is 5 feet above (answered by Edwin McCravy)

How far will a ball travel horizontally before hitting the ground, if the ball is thrown... (answered by Alan3354)

A carnival gave offers a $100 cash prize for anyone who can break a balloon by throwing a (answered by stanbon)

Please Help Me! 1. The path of a ball thrown into the air from a height of 3 feet is... (answered by ankor@dixie-net.com)

A ball that is hit or thrown horizontally with a velocity of v feet per second willtravel (answered by stanbon)

A ball is placed snugly into the smallest possible box that will completely contain the... (answered by mananth)