Question

A coin is dropped from a hot-air balloon that is 290 m above the ground and rising at 12.0 m/s upward. For the coin, find the following. (a) the maximum height (in m) reached

Answer 1

y = 297.34 m

Step-by-step explanation:

When coin is dropped from the balloon then due to inertia the initial speed of the coin will be same as the speed of the balloon

So here we have

`v_i = 12.0 m/s`

initial height of the coin is

`y_i = 290 m`

now at the maximum height final speed of the coin will be zero

so we will have

`v_f^2 - v_i^2 = 2 a (\Delta y)`

`0 - 12^2 = 2(-9.81)(y - 290)`

`7.34 + 290 = y`

`y = 297.34 m`