SOLUTION: h=-16t^2+vt+s, where h is the height (in feet), t is the time in motion (in seconds), v is the initial velocity (in feet per second), and s is the initial height(in feet) A gymn

Question 581420: h=-16t^2+vt+s, where h is the height (in feet), t is the time in motion (in seconds), v is the initial velocity (in feet per second), and s is the initial height(in feet)
A gymnast dismounts the uneven parallel bars at a height of 8 feet with an initial upward velocity of 8 feet per second. Find the time (in seconds) it takes for the gymnast to reach the ground.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
h=-16t^2+vt+s, where h is the height (in feet), t is the time in motion (in seconds), v is the initial velocity (in feet per second), and s is the initial height(in feet)
A gymnast dismounts the uneven parallel bars at a height of 8 feet with an initial upward velocity of 8 feet per second. Find the time (in seconds) it takes for the gymnast to reach the ground.
.
from the statement of the problem we have:
v is 8 ft per sec
s is 8 ft
set h to zero (ground) and solve for t:
h=-16t^2+vt+s
0=-16t^2+8t+8
dividing both sides by 8:
0=-2t^2+t+1
multiplying both sides by -1:
0=2t^2-t-1
0=2t^2-2t+t-1
0=(2t^2-2t)+(t-1)
0=2t(t-1)+(t-1)
0=(t-1)(2t+1)
t = {-1/2, 1}
throw out the negative solution leaving:
t = 1 second

RELATED QUESTIONS
lauren dove into a swimming pool from 15 foot high diving board with an initial velocity... (answered by ankor@dixie-net.com)

Hugh Betcha launched a model rocket with an initial speed of 88 feet per second. After... (answered by amarjeeth123)

A basketball player takes a shot a a regulation basket, 10 feet off the floor. He... (answered by stanbon)

I'm having a little trouble with this problem: Brent throws an object downward with... (answered by Alan3354)

When the baton twirler releases the baton into the air with an initial velocity of 30ft... (answered by ankor@dixie-net.com)

When a ball is thrown, its height in feet h after t seconds is given by the equation... (answered by venugopalramana)

When a ball is thrown, its height in feet h after t seconds is given by the equation (answered by stanbon)

When a ball is thrown, its height in feet h after t seconds is given by the equation... (answered by Fombitz)

when a ball is thrown, it's height in feet H after t seconds is given by the equation... (answered by Alan3354)