A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m

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What’s inside this PDF?

Question: A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m/s. What is the horizontal component of the velocity? (2020)

Options:

20
34.64
30
35

Correct Answer: 34.64

Exam Year: 2020

Solution:

Horizontal component = initial speed × cos(angle) = 40 m/s × cos(30°) = 40 × √3/2 ≈ 34.64 m/s.

A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m

Practice Questions

A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m/s. What is the horizontal component of the velocity? (2020)

20
34.64
30
35

Questions & Step-by-Step Solutions

A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m/s. What is the horizontal component of the velocity? (2020)

Step 1: Identify the initial speed of the baseball, which is 40 m/s.
Step 2: Identify the angle at which the baseball is hit, which is 30 degrees.
Step 3: Use the formula to find the horizontal component of the velocity: Horizontal component = initial speed × cos(angle).
Step 4: Calculate cos(30 degrees). The value of cos(30 degrees) is √3/2.
Step 5: Substitute the values into the formula: Horizontal component = 40 m/s × (√3/2).
Step 6: Calculate the result: 40 × √3/2 ≈ 34.64 m/s.

Projectile Motion – Understanding how to resolve velocity into horizontal and vertical components using trigonometric functions.
Trigonometry – Applying cosine to find the horizontal component of velocity based on the launch angle.

A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m

What’s inside this PDF?

A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m

Practice Questions

Questions & Step-by-Step Solutions

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