Question

The drawing shows an empty fuel tank about to be released by three different jet planes. At the moment of release, each plane has the same speed, and each tank is at the same height above the ground. However, the directions of the velocities of the planes are different. Which tank has the largest speed upon hitting the ground? Ignore friction and air resistance.

Answer 1

The tank that is released in the vertical direction will have the largest speed upon hitting the ground.

When an object is dropped, it falls freely under the influence of gravity. In this case, the fuel tanks are released with the same height and speed from three different jet planes. Since they are all released at the same height and with the same initial speed, the tank that is released in the vertical direction will have the largest speed when it hits the ground. This is because its initial velocity in the vertical direction is equal to the speed at which it is released.

Directions are commonly described by the terms vertical and horizontal: a vertical line runs up and down, and a horizontal line crosses. The letter "v," which points downward, can help you recall which direction is vertical. Vertical definitions include: at right angles to a base line or the plane of the horizon.

Answer 2

`v=√(2gh)`

each tank hits the ground with same speed as above.

Step-by-step explanation:

When fuel tanks are released there velocity u=0 m/s

all are released from the same height let it be h

let the velocity when they hit the ground be v

now using the equation

`v^2-u^2=2gh`

where g= acceleration due to gravity

put u=o and rearranging we get

`v=√(2gh)`

clearly, velocity is only dependent on the height h, which is same for all hence, we conclude that each tank hits the ground with same speed as above.