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A player hits a baseball at an angle of 30 degrees with an initial speed of 40 m
Practice Questions
Q1
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)
Steps
Concepts
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.
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