Question

A rescue plane drops a package to a stranded party of explorers. The plane is travelling horizontally at a velocity of 100.0m/s and it took

3.19 seconds to hit the ground. What horizontal distance does the package travel before hitting the ground?

Answer 1

The package dropped from the plane travels a horizontal distance of 319 meters before hitting the ground, calculated by multiplying the horizontal velocity of the plane (100.0 m/s) by the time it took for the package to reach the ground (3.19 seconds).

Step-by-step explanation:

To find the horizontal distance the package travels before hitting the ground, we can use the horizontal velocity of the plane and the time it took for the package to reach the ground. The key idea here is that in the absence of air resistance, the horizontal motion of the projectile (the package) is not affected by gravity and is therefore at a constant velocity.

Given that the plane is traveling horizontally at a velocity of 100.0 m/s and that the package took 3.19 seconds to hit the ground, the horizontal distance traveled by the package is simply the product of the velocity and the time.

Horizontal distance = horizontal velocity x time

= 100.0 m/s x 3.19 s

= 319 m

Therefore, the package travels a horizontal distance of 319 meters before hitting the ground.