SOLUTION: If an object is given an initial velocity of v0 feet per second from a height of S0 feet, then its height S after t seconds is given by the formula S= -16t SQRD+vt+S . A rock is t

Question 118874: If an object is given an initial velocity of v0 feet per second from a height of S0 feet, then its height S after t seconds is given by the formula S= -16t SQRD+vt+S . A rock is thrown into the air at 26 feet per second from a height of 13 feet. How long does it take to reach the earth?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If an object is given an initial velocity of v0 feet per second from a height of S0 feet, then its height S after t seconds is given by the formula S= -16t SQRD+vt+S . A rock is thrown into the air at 26 feet per second from a height of 13 feet. How long does it take to reach the earth?
:
We can write it, the ground would be 0 ft;
:
-16t^2 + 26t + 13 = 0
:
Use the quadratic formula to solve this equation: a=-16; b=26; c=13

:
Do the math here.
you should get a positive solution of t = 2.026 sec to reach the ground
:
Check your solution in the original equation

RELATED QUESTIONS
If an object is given an initial velocity of v0 feet per second from a height of S0 feet, (answered by stanbon)

If an object is given an initial velocity of v0 feet per second from a height of S0 feet, (answered by vleith)

Foul Ball. Suppose Charlie O'Brian hits a baseball straight upward at 150 ft/sec from a... (answered by stanbon)

Please assist me with this question. Iam taking beginning algebra online and the book... (answered by stanbon)

If an object is given an initial velocity of v0 feet per second from a height of s0 feet, (answered by Alan3354,nerdybill)

If a projectile is launched with an initial velocity of v0 feet per second from an... (answered by stanbon)

Hi, I have two questions that i'm having problems with 1.Diagonal of a square. The... (answered by solver91311)

If an object is given an initial velocity of v0 feet per second from a height of s0 feet, (answered by Alan3354)

The path of a falling object is given by the function s=-16t2+v0t+s0 where v0 represents... (answered by scott8148)