A person holding a lunch bag is moving upward in a hot air balloon at a constant speed of 7.7 m/s . When the balloon is 21 m above the ground, she accidentally releases the bag. Part A What is the speed of the bag just before it reaches the ground

Respuesta :

Answer:

The speed of the bag just before it reaches the ground is 21.71 m/s.

Explanation:

The speed of the bag can be found using the following equation:

[tex] v_{f}^{2} = v_{0}^{2} - 2gy [/tex]

Where:

[tex]v_{f}[/tex] is the final speed =?

[tex]v_{0}[/tex] is the initial speed = 7.7 m/s

g: is the gravity = 9.81 m/s²

y: is the height = 21 m

[tex]v_{f}^{2} = v_{0}^{2} - 2gy = (7.7 m/s)^{2} - 2*9.81 m/s^{2}*(-21 m) = 471.31 m^{2}/s^{2}[/tex]

[tex]v_{f} = 21.71 m/s[/tex]

Therefore, the speed of the bag just before it reaches the ground is 21.71 m/s.

I hope it helps you!