Question

A projectile is launched at an upward angle and will land at the same height at which it is launched. The launch angle is 30 degrees and the velocity magnitude at launch is 30 m/s. What is the initial y component of velocity at launch in m/s?

Answer 1

To calculate the initial y component of velocity for a projectile, multiply the velocity magnitude by the sine of the launch angle. For a projectile with a launch angle of 30 degrees and velocity of 30 m/s, the initial y component of velocity is 15 m/s.

Step-by-step explanation:

Calculating the Initial Y Component of Velocity

To find the initial y component of velocity for a projectile launched at a 30-degree angle, we can use the sine function from trigonometry. Since the velocity magnitude at launch is 30 m/s, we can calculate the initial y component (V0y) as follows:

• V0y = V0 × sin(θ)
• V0y = 30 m/s × sin(30°)
• V0y = 30 m/s × 0.5
• V0y = 15 m/s

Therefore, the initial y component of velocity at launch is 15 m/s.