An object is projected at an angle of 60 degrees with an initial speed of 30 m/s

An object is projected at an angle of 60 degrees with an initial speed of 30 m/s. What is the vertical component of its velocity?

An object is projected at an angle of 60 degrees with an initial speed of 30 m/s. What is the vertical component of its velocity?

Correct Answer: 25.98 m/s

Step 1: Identify the initial speed (u) of the object, which is given as 30 m/s.
Step 2: Identify the angle of projection (θ), which is given as 60 degrees.
Step 3: Use the sine function to find the vertical component of the velocity. The formula is v_y = u * sin(θ).
Step 4: Calculate sin(60 degrees). The value of sin(60 degrees) is √3/2.
Step 5: Substitute the values into the formula: v_y = 30 * (√3/2).
Step 6: Calculate the result: v_y = 30 * 0.866 (approximately) = 25.98 m/s.

Projectile Motion – Understanding the components of velocity in projectile motion, specifically how to calculate the vertical component using trigonometric functions.
Trigonometric Functions – Application of sine function to resolve the initial velocity into vertical and horizontal components based on the angle of projection.