Math Problem Statement

  1. At the highest point of a projectile, the vertical velocity is _______ and the acceleration is ___________.

  2. 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 ___________.

  1. 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:

  1. Why is the horizontal velocity constant in projectile motion?
  2. How does the angle of projection affect the range of a projectile?
  3. What happens to the vertical acceleration if the projectile is launched upwards?
  4. How do you calculate the maximum height of a projectile?
  5. 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