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 vertical component of the velocity? (2020)
20 m/s
30 m/s
35 m/s
25 m/s
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 vertical 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 sine function to find the vertical component of the velocity. The formula is: vertical component = initial speed × sin(angle).
Step 4: Calculate sin(30 degrees). The value of sin(30 degrees) is 0.5.
Step 5: Multiply the initial speed (40 m/s) by sin(30 degrees) (0.5): 40 m/s × 0.5.
Step 6: Perform the multiplication: 40 m/s × 0.5 = 20 m/s.
Step 7: Conclude that the vertical component of the velocity is 20 m/s.
Projectile Motion – Understanding how to resolve the initial velocity of a projectile into its vertical and horizontal components using trigonometric functions.
Trigonometric Functions – Applying the sine function to find the vertical component of velocity based on the angle of projection.