Monday

July 28, 2014

July 28, 2014

Posted by **shila** on Tuesday, October 23, 2007 at 9:31am.

h(t)=-16t^2+80t+200, t is time h is height, how long after it is fired does the object reach the max height? It is like a quadratic equation

- MAth -
**tchrwill**, Tuesday, October 23, 2007 at 9:46amIf an object is fired upward from the top of a tower at a velocity of 80 feet per second, the tower is 200 ft high, the formula is

h(t)=-16t^2+80t+200, t is time h is height, how long after it is fired does the object reach the max height? It is like a quadratic equation

The classic equation for height reached by a body projected upward is h = Vot - gt^2/2 or Vot - 16t^2 where Vo = the initial upward velocity, t = the time of flight and g = the acceleration due to gravity.

Your equation of height reached is given by h = 200 + 80t - 16t^2.

The equation of motion from which you can obtain the time of flight is Vf = Vo - gt where Vf = the final velocity. Since the final final velocity is zero, we have 0 = 80 - 32t making t = 2.5 sec.

After 2.5 sec., it will have reached its maximum height of 200 + 80(2.5) - 16(2.5)^2 = 200 + 200 - 100 = 300 ft.

- math -
**lavonia**, Tuesday, October 23, 2007 at 4:40pmi dont know

**Related Questions**

algebra3 - An object is fired straight up from the top of a 200-foot tower at a ...

calculus - Tower 1 is 90 ft high and tower 2 is 40 ft high. The towers are 200 ...

Math (Calculus) - Tower 1 is 60 ft high and tower 2 is 20 ft high. The towers ...

Applied Calculus - Suppose that an object is thrown down towards the ground from...

Physics - A rock thrown horizontally from the top of a radio tower lands 20.0 m ...

Algebra - THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the...

Algebra - THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the...

math - A radio tower stands on the top of a hill that is 85 feet high. From the ...

MATH - A wire is stretched from the ground to the top of an antenna tower. The ...

math - A wire is stretched from the ground to the top of an antenna tower. The ...