SOLUTION: A ball is thrown upward with an initial velocity of 40 feet per second from ground level. The height of the ball, in feet, after t seconds is given by h  16t 2

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Question 1074428: A ball is thrown upward with an initial velocity of 40 feet per second
from ground level. The height of the ball, in feet, after t seconds is
given by h  16t
2  40t. At the same time, a balloon is rising at a
constant rate of 10 feet per second. Its height, in feet, after t seconds
is given by h  10t. Find the time it takes for the ball and the balloon
to reach the same height.

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve the equation

-16t%5E2+%2B+40t = 10%2At

to get the answer.




Plot y = -16x%5E2+%2B+40x (red) and y = 10x (green)