Question

The weight of the balloon and basket, W, is the same magnitude

as the upthrust force, U.
Describe the vertical motion of the hot air balloon.

Answer 1

the hot air balloon remains at the same speed. if it was originally at rest, then it is still at rest; if it was originally moving at a certain speed, it is still moving at that speed.

Step-by-step explanation:

The sum of the vertical forces could be written as
`F_(y)` = U - W

U would be positive because it is in the upward direction

W would be negative because it is in the negative direction

since U and W is the same, you can say U = W

substituting this back into our original equation
`F_(y)` = W - W

this means
`F_(y)` = 0

since the sum of the vertical forces is 0, there is no acceleration

no acceleration means that the vertical velocity remains constant