SOLUTION: h=-16t^2+64t A. The object reaches its maximum height 2 seconds after it is propelled. What is the maximum height? B. After how many seconds does the object hit the ground?

Algebra.Com
Question 432312: h=-16t^2+64t
A. The object reaches its maximum height 2 seconds after it is propelled. What is the maximum height?
B. After how many seconds does the object hit the ground?

Please help me work this out!!
Thanks,
Chris

Found 2 solutions by stanbon, shree840:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
h=-16t^2+64t
A. The object reaches its maximum height 2 seconds after it is propelled. What is the maximum height?
h(2) = -16(2)^2+64(2) = -16*4 + 128 = -64+128 = +64 ft.
--------------------------------------------------------------
B. After how many seconds does the object hit the ground?
Solve -16t^2+64t = 0
-16t(t-4) = 0
Positive solution:
t = 4 seconds
========================
Cheers,
Stan H.

Answer by shree840(260)   (Show Source): You can put this solution on YOUR website!
your formula is given h=-16T^2+64t
substitute t=2
h=-16(2)^2+64*2
=-64+128=64 ANS

RELATED QUESTIONS

If an object is propelled upward from ground level with an intial velocity of 64 ft. per... (answered by stanbon,nyc_function)
"An object is launched vertically in the air from a 10-meter tall platform. The height... (answered by Alan3354)
If an object is propelled upward from a 288 foot high tower at an initial velocity of 48... (answered by solver91311)
THe height in feet a ball is t seconds after being throan in the air is given by... (answered by nerdybill)
Please help. Tim kicks a ball off the ground. After t seconds, its height, h (in... (answered by stanbon)
Tim kicks a ball off the ground. After t seconds, its height, h (in feet), is given by... (answered by Greenfinch)
An object is propelled vertically upward from the top of a 272-foot building. The... (answered by nerdybill)
a ball is thrown upward into the air with an intitial velocity of 64 feet per second.the... (answered by lwsshak3)
If a ball is thrown vertically upward from the roof of a 32 foot tall building with a... (answered by Alan3354)