Free Fall Motion
1. **Problem Statement:** Describe the motion of an object under free fall during its rise and fall, focusing on velocity and acceleration at key points.
2. **Key Concept:** When an object is thrown vertically upward, it moves upward until it reaches the highest point (apex), then falls back down under gravity.
3. **Velocity and Acceleration:**
- Velocity ($v$) changes during the motion: positive going up, zero at the apex, negative going down.
- Acceleration ($a$) due to gravity is constant and directed downward, $a = -g$ (negative if upward is positive).
4. **Answer to Question 4:**
- At point Q (the apex), velocity is zero because the ball stops rising and starts falling.
- Acceleration is nonzero and equals $-g$ downward.
- Therefore, the ball experiences zero velocity and nonzero acceleration simultaneously at point Q.
5. **Answer to Question 2:**
- The acceleration at the highest point is negative (downward), so the correct answer is negative.
6. **Answer to Question 3:**
- At the highest point, velocity $v=0$ and acceleration $a=-g$.
7. **Answer to Question 5:**
- During the ascending part:
- Position is positive (above the starting point).
- Velocity is positive (moving upward).
- Acceleration is negative (gravity pulling downward).
**Summary:**
- Velocity at apex: $v=0$
- Acceleration always: $a=-g$
- Position and velocity positive going up, acceleration negative throughout.
$$\text{Velocity at apex} = 0, \quad \text{Acceleration} = -g$$