Final answer:
In Physics, the horizontal distance a golf ball travels in projectile motion can be calculated using initial speed, angle of projection, and the equations for projectile motion. The answer is approximately 76.2 meters.
Step-by-step explanation:
The subject of this question is Physics, specifically related to the topic of projectile motion. To solve for the horizontal distance a golf ball travels, we can use the following projectile motion equations, assuming no air resistance and a level landing area:
Initial variables:
Initial speed (v) = 21 m/s
The angle of projection (θ) = 25°
Horizontal velocity (vx) = v · cos(θ) = 21 · cos(25°)
Vertical velocity (vy) = v · sin(θ) = 21 · sin(25°)
Time of flight (t) = 2 · (vy / g) where g = 9.81 m/s2
Range (R) = vx · t
Using these equations, we calculate the time of flight and then use the horizontal velocity to calculate the range, which represents how far the golf ball will go. When you do the math, you get that the golf ball will travel approximately 76.2 meters.