SOLUTION: A rock is thrown from the top of a building. The distance is feet, between the rock and the ground "t" seconds after it is thrown is given by d=16t^2+64X+128 what is the

Question 179599: A rock is thrown from the top of a building. The distance is feet, between the rock and the ground "t" seconds after it is thrown is given by d=16t^2+64X+128
what is the maximum height that the rock reaches?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Your problem statement seems to have some anomalies in it!
The standard formula for the height (as a function of time) of an object propelled upwards from an initial height of with an initial velocity of is given by:
where g (the constant of acceleration due to gravity) is 32 ft/sec^2, so your formula should look like:

Your formula also shows two different varaibles. t and x.
So, back to the problem but starting with the correct formul, (the d in your problem will work just as well as the h(t)) we have:
First, we'll find the time, t, at which the height, d, is at its maximum. The graph of the quadradtic equation that we have here is a parabola that opens downward (signified by the negative first term) so its maximum will occur at the vertex of the parabola, and this is given by:
where a = -16 and b = 64, so...
}

secs.
To find the maximum height, we substitute the time, t=2secs into the original equation and solve for d.

feet.
The rock will reach a maximum height of 192 feet.
RELATED QUESTIONS
please help me solve a rock is thrown from the top of the building . The distance in... (answered by richwmiller)

A rock is thrown from the top of a tall building. The distance, d, in feet, between the... (answered by solver91311)

A rock is thrown from the top of a tall building. The distance D, in feet, between the... (answered by checkley71)

50. A rock is thrown from the top of a tall building. The distance in feet, between the... (answered by checkley75)

A rock is thrown from the top of a tall building. The distance d, in feet, between the... (answered by josmiceli)

A rock is thrown from the top of a tall building. The distance, in feet, between the rock (answered by macston)

A rock is thrown from the top of a tall building. The distance d in feet, between the... (answered by josmiceli)

Hello! I have a word problem and I have no idea how to solve it, if you could solve it... (answered by Earlsdon)

Problem: A rock is thrown from the top of a tall building. The distance, in feet, between (answered by Alan3354)