SOLUTION: 22.) Find he exact solution. The height in feet for a ball thrown upward at 48 feet per second is given by s(t)= - 16r^2 + 48t. Where t is the time in seconds after the ball i

Question 165194: 22.) Find he exact solution.
The height in feet for a ball thrown upward at 48 feet per second is given by
s(t)= - 16r^2 + 48t. Where t is the time in seconds after the ball is tossed. What is the maximum height that the ball will reach?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
s(t)= - 16t^2 + 48t
.
The idea is that the equation describes a parabola. If the coefficient 'a' is negative, the parabola opens downward. Thus the vertex will give you the "maximum".
.
The vertex form of a parabola is:
y= a(x-h)^2+k
.
The idea is to convert the given equation into the above form.
s(t)= - 16t^2 + 48t
s(t)= -16(t^2 - 4t)
Completing the square, we have:
s(t)= -16(t^2 - 4t + 4) + 64
s(t)= -16(t-2)^2 + 64
.
We now "see" that the vertex is at:
(h,k) = (2, 64)
.
Which says, that at
2 seconds, the ball will reach the maximum height of 64 feet.

RELATED QUESTIONS
the height in feet for a ball thrown upward at 48 feet per second is given by... (answered by Alan3354)

The height in feet for a ball thrown upward at 48 feet per second is given by... (answered by richwmiller)

The height in feet for a ball thrown upward at 48 feet per second is given by s(t)=... (answered by nerdybill,haileytucki)

The height in feet for a ball thrown upward at 48 feet per second is given by s(t) =... (answered by josmiceli)

The height in feet for a bal thrown upward at 48 feet per second is given by... (answered by solver91311)

Hi, I am having trouble figuring out this problem. Would someone please help me figure... (answered by mathsteacher)

The height in feet for a ball thrown upward at 48 feet per second is given by... (answered by Earlsdon)

a ball is thrown vertically upward with an initial speed of 48 ft/s. its height, in feet, (answered by richwmiller)

a ball is thrown vertically upward with an initial speed of 48 ft/s. its height, in feet, (answered by ewatrrr)