SOLUTION: A toy rocket is launched from the top of a mountain and falls on the ground below. The height of the rocket above the ground is modeled by the relation H= -5t 2 + 20t + 105 where H

Question 389810: A toy rocket is launched from the top of a mountain and falls on the ground below. The height of the rocket above the ground is modeled by the relation H= -5t 2 + 20t + 105 where H is the height in meters and t is the elapsed time in seconds. How high is the mountain?
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
105 meters

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A toy rocket is launched from the top of a mountain and falls on the ground below. The height of the rocket above the ground is modeled by the relation
H(t) = -5t^2 + 20t + 105 where H is the height in meters and t is the elapsed time in seconds. How high is the mountain?
----
The height of the mountain is the height of the rocket
at time t=0.
H(0) = -5*0^2+20*0+105 = 105 meters.
===============================
Cheers,
Stan H.
==========

RELATED QUESTIONS
A toy rocket is launched in an open field. The path of the rocket can be modelled by the... (answered by ikleyn)
A toy rocket is launched from the top of a building 114 feet tall at an initial velocity... (answered by Boreal)
A toy rocket is launched from a building 148 feet tall at an initial velocity of 222 feet (answered by stanbon)
A toy rocket is launched from a platform that is 4 feet above the ground. The height, h,... (answered by CharlesG2)
Mr. Alim's science class launched a toy rocket from ground level with an initial upward... (answered by solver91311)
a toy rocket is launched upward from a height of 1.3 m above the ground. The height of... (answered by Alan3354)
hi, my question is following A toy rocket is launched straight up from the top of a... (answered by richwmiller)
hi, my question is following A toy rocket is launched straight up from the top of a... (answered by Theo)
A toy rocket is launched from the top of a building 67 feet tall at an initial velocity (answered by Alan3354,jorel1380)