Evaluate the velocity function at the time found in part (B).
Integrate the acceleration function to get the velocity function You can solve for the constant of integration by noting that2. A stone is thrown straight up from the edge of a roof, feet above the ground, at a speed of feet per second.
A. Remembering that the acceleration due to gravity is , how high is the stone seconds later?
Integrate to get the stone's position function Set and you can solve for the constant of integration. Then just evaluate
That is, for what value of isB. At what time does the stone hit the ground?
C. What is the velocity of the stone when it hits the ground?