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Free Fall Motion

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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. $$\text{Velocity at apex} = 0, \quad \text{Acceleration} = -g$$