The maximum range of the golf ball is 18.6 m.
The given parameters;
height reached by the ball, h = 3 m
distance of the ball, x = 14
the initial velocity of the ball, u = 13.5 m/s
The maximum range of a projectile is the maximum horizontal distance traveled by the projectile within the time of motion.
- The range of a projectile is affected by the given angle of projection.
- The range of projectile is also affected by the initial velocity and time of motion.
The maximum range of the ball is calculated as follows;
[tex]R = \frac{u^2 sin(2 \theta)}{g}[/tex]
at maximum range, the angle of projection, [tex]\theta = 45^0[/tex]
[tex]R_{max} = \frac{u^2}{g} \\\\R_{max} = \frac{13.5^2}{9.8} \\\\R_{max} = 18.6 \ m[/tex]
Thus, the maximum range of the golf ball is 18.6 m.
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