Final answer:
To find the horizontal distance traveled by the golf ball, we can use the equations of projectile motion. By calculating the horizontal component of the initial velocity and the time of flight, we can determine the range.
Step-by-step explanation:
The horizontal distance traveled by the golf ball can be determined using the equations of projectile motion. When a projectile is launched at an angle above the horizontal, its motion can be separated into horizontal and vertical components. The horizontal velocity remains constant, while the vertical velocity changes due to the effect of gravity.
By using the given initial velocity of 3.00 m/s and the launch angle of 60.0 degrees, we can calculate the horizontal component of the initial velocity using the formula: V0x = V0 * cos(theta).
The horizontal distance traveled by the golf ball, also known as the range, can be calculated using the equation: R = V0x * t, where t is the time of flight. Since the ball is launched at an angle above the horizontal, the time of flight can be determined using the equation: t = 2 * (V0 * sin(theta)) / g, where g is the acceleration due to gravity.
Substituting the given values into the equations and solving, we can find the horizontal distance traveled by the golf ball.