You also know that when t=0 h=6. So 6=c-d^2 . So c=6+d^2. Substitute this for c into your equation and solve for d. Then find c from c=6+d^2.
At time , a ball was thrown upward from an initial height of 6 feet. Until the hall hit the ground, its height (in feet), after t seconds was given by function h above, in which and are positive constants. If the ball reached its maximum height of 106 ft at , what what the height of the ball, in feet, at time ?
Obviously, this is a downward sloping parabola since it has a maximum.
So far, I've entered:
but I'm not sure how to proceed from there
Hello, m58!
At time , a ball was thrown upward from an initial height of 6 feet.
Until the hall hit the ground, its height (in feet), after t seconds was given by: /
where and are positive constants.
If the ball reached its maximum height of 106 ft at ,
what is the height of the ball, in feet, at time ?
We are told that when
. .
We are told that when
. .
Subtract [1] - [2]: .
. . . . . . . . . . . . . .
Hence: .
Therefore: .