Sunday

April 20, 2014

April 20, 2014

Posted by **TB** on Sunday, June 24, 2007 at 10:33am.

How long will it take the object to hit the ground? Round your answer to the nearest thousandth....

when it hits the ground, h is zero. So you have a quadratic equation. Use the quadratic equation to solve...

-16t^2+60t+9=0

The height h in feet of an object after t seconds is given by the function h=-16t^2+60t+9....

How long will it take the object to hit the ground? Round your answer to the nearest thousandth

The formula you give is for determining the height reached by an object when launched from a height of 9 feet above the ground, h = 9 + Vot - gt^2 where h == the maximum height, Vo = the initial velocity and g = the acceleration due to gravity, 32 fps^2.

Your formule implies a Vo of 60 fps.

The time to reach the maximum height derives from Vf = Vo - gt or 0 = 60 - 32t making t = 1.875 sec.

The height reached is h = 9 + 60(1.875) - 16(1.875^2) = 65.25 ft.

The time to fall back down to the ground, 9 feet below the launch height of 9 feet, derives from

74.25 = 0 + 16t^2 making t = 2.15 sec.

The total time of flight is therefore 4.029 sec.

**Related Questions**

Algebra - The height h in feet of an object after t seconds is given by the ...

math,algebra,help - I need help this is for homework this problem but i feel ...

algebra - A ball is thrown upward from a height of 240 feet. the height h of the...

math - the height, in feet, of a free-falling object t seconds after being ...

Math - An object is thrown from the top of an 80 foot building with an initial ...

math - The height, in feet, of a free]falling object t seconds after being ...

math - The height, in feet, of a free-falling object t seconds after being ...

Math - An object is dropped from a hot-air balloon 1296 feet above the ground. ...

Algebra - If an object is dropped from a height of 144 ft, the function h(t) = ...

Alg 1 - A baseball player hit a ball with an upward velocity of 46 ft/s. Its ...