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To solve part C, we need to determine the velocity of the stone when it hits the ground. We already know:

1. The initial height, \( h_0 = 675 \) feet.
2. The initial velocity, \( v_0 = 14 \) feet per second (upwards).
3. The acceleration due to gravity, \( a = -32 \) feet per second squared.
4. The time it takes to hit the ground, \( t = 6.95 \) seconds, as found in part B.

The formula for the final velocity \( v \) when an object is subject to constant acceleration is:

\[
v = v_0 + at
\]

### Substituting the known values:
\[
v = 14 + (-32)(6.95)
\]

Let's calculate this:

\[
v = 14 - 222.4
\]
\[
v = -208.4 \text{ feet per second}
\]

The negative sign indicates that the stone is moving downward when it hits the ground.

**Answer for Part C:** The velocity of the stone when it hits the ground is approximately \(-208.4\) feet per second.

Would you like further details or have any questions?

Here are five related questions for further exploration:

1. What would be the stone's velocity if it were thrown downward instead of upward?
2. How would the time to reach the ground change if the initial velocity were doubled?
3. How would air resistance impact the stone's final velocity?
4. What would the maximum height reached by the stone be?
5. If gravity were weaker (e.g., on the Moon), how would that affect the stone's motion?

**Tip:** Always check the sign of your final answer when dealing with direction-sensitive quantities like velocity and displacement!

A stone is thrown straight up from the edge of a roof, 675 feet above the ground, at a speed of 14 feet per second. 
A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 2 seconds later? 
B. At what time does the stone hit the ground? 
C. What is the velocity of the stone when it hits the ground?

Explore how to calculate the height, time to hit the ground, and final velocity of a stone thrown upward from a 675-foot high roof with an initial speed of 14 feet per second, considering gravity at -32 feet per second squared.

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