To find the range of the projectile, we need to calculate the horizontal distance it travels before hitting the ground. Assuming there is no air resistance and neglecting the effect of the Moon's gravity, we can use the equations of motion to find the range.
1. Find the time of flight:
We know that the horizontal motion of the projectile is not affected by gravity. Therefore, the time of flight is determined by the vertical motion. Since we are neglecting the effect of the Moon's gravity, the projectile will follow a straight-line path and fall directly downward. The time of flight can be found using the vertical motion equation: h = (1/2)gt^2.
Since the initial vertical velocity is 0 (fired horizontally), the equation simplifies to h = (1/2)gt^2.
Since h = 0 (the projectile hits the ground), the equation becomes 0 = (1/2)gt^2.
Solving for t gives t = 0.
Therefore, the time of flight is t = 0 seconds.
2. Calculate the range:
The range of the projectile is given by the horizontal distance traveled during the time of flight. Using the equation R = v*t, where R is the range, v is the horizontal velocity, and t is the time of flight:
R = v*t = 25 m/s * 0 seconds = 0 meters.
Therefore, the range of the projectile is 0 meters.