Final answer:
The student's Physics question asks about calculating the horizontal distance a crate dropped from an airplane will travel before hitting the ground, assuming no air resistance and known height and speed.
Step-by-step explanation:
The question revolves around the principles of projectile motion in Physics. When an airplane flying at a speed of 500 km/h at an altitude of 800 m drops a crate, we must calculate the distance the crate travels horizontally before hitting the ground. The problem assumes there is no air resistance, meaning that the crate will maintain its horizontal velocity during the fall.
To solve this, we can use the formula for the time it takes an object to fall from a certain height: t=√(2h/g), where h is the height (800 m) and g is the acceleration due to gravity (approximately 9.8 m/s2). Once we have the time t, we multiply it by the horizontal velocity of the crate, which must be converted from km/h to m/s (500 km/h = 138.89 m/s). This will give us the horizontal distance the crate travels before impact, also known as the range R.