(Solved): 4 points) A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a sp ...

4 points) A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 10 foet pet second. Rememberina that the acceleration dive to gravity is \( -32 \) feet per second squared, how high is the otone 2 seconds later? At what time does the slone hit the ground? What is the velocity of the stone when it hits the ground? (4 points) Let \( s(t)=t^{3}-18 t^{2}+105 t-1 \) for \( 0 \leq t \leq 8 \) denote the position of an object moving along a line. Find - The velocity at time \( t \) is - The acceleration at time \( t \) is - Find the initial position and the ending position - Find the total distance fraveled by the object - Find where the welocity is positive Use interval notation. - Find where the accelerstion is positive Uso interval notation: If the answer includes more than one interval write the intervals separated by the "union' symbol, U. If needed enter \( \infty \)-as INF and \( -\infty \)-as \( + \) INF. (3 points) Let \( s(t)=3 t^{2}-6 t+6 \) for \( 0 \leq t \leq 10 \) denote the position of an object moving along a line. Find - The velocity at time \( t \) is - The acceleration at time \( t \) is - Find the initial position and the ending position - Find the total distance traveled by the object - Find where the velocity is positive Use interval notation. - Find where the acceleration is positive Use interval notation. If the answer includes more than one interval write the intervais separated by the "union" symbol, U. If needed enter \( \infty \) as INF and \( -\infty \) as \( -I N F \).