Math Problem Statement
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At the highest point of a projectile, the vertical velocity is _______ and the acceleration is ___________.
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At the highest point of a projectile, the vertical velocity is _______ and the acceleration is ___________.
A. zero, zero
C. 9.8 m/s2 upward, 9.8 m/s2 downward
B. zero, 9.8 m/s2 downward
D. 9.8 m/s2 upward, zero2. At the highest point of a projectile, the vertical velocity is _______ and the acceleration is ___________.
- At the highest point of a projectile, the vertical velocity is _______ and the acceleration is ___________.
A. zero, zero
C. 9.8 m/s2 upward, 9.8 m/s2 downward
B. zero, 9.8 m/s2 downward
D. 9.8 m/s2 upward, zero
Solution
At the highest point of a projectile's motion, the vertical velocity is zero, and the acceleration is 9.8 m/s² downward (due to gravity).
Therefore, the correct answer is:
B. zero, 9.8 m/s² downward.
Explanation:
- Vertical velocity: At the highest point, the projectile momentarily stops moving upwards and starts descending, so the vertical velocity is zero at that instant.
- Acceleration: Regardless of the projectile's position, the acceleration due to gravity is always directed downward and has a magnitude of approximately 9.8 m/s² on Earth.
Would you like more details or have any further questions?
Here are 5 related questions to deepen your understanding:
- Why is the horizontal velocity constant in projectile motion?
- How does the angle of projection affect the range of a projectile?
- What happens to the vertical acceleration if the projectile is launched upwards?
- How do you calculate the maximum height of a projectile?
- How does air resistance impact projectile motion in real-world scenarios?
Tip: Always break the motion of a projectile into horizontal and vertical components to analyze them separately for clarity.
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Math Problem Analysis
Mathematical Concepts
Projectile Motion
Kinematics
Gravity
Formulas
Vertical velocity = 0 at the highest point
Acceleration due to gravity = 9.8 m/s² downward
Theorems
Constant Acceleration due to Gravity
Suitable Grade Level
Grades 9-12
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