Understanding the Problem
* Initial Velocity (v): 31 m/s
* Launch Angle (θ): 35 degrees
Formula
The horizontal velocity component (Vx) is calculated using the following formula:
Vx = v * cos(θ)
Calculation
1. Convert the angle to radians: 35 degrees * (π / 180 degrees) ≈ 0.61 radians
2. Calculate the horizontal component: Vx = 31 m/s * cos(0.61 radians) ≈ 25.4 m/s
Answer
The horizontal velocity component of the golf ball is approximately 25.4 m/s.