Answer to Question #133737 in Physics for brenda

Question

A mango is thrown down at a speed v.
a. If thrown down at 2 v from the same height, would the impact speed double?
b. Would the air time double in this case?

Answer 1

a. If the initial speed is $v$, then the impact speed will the the following:

$$v_{im\_1} = v + gt_{fall\_1}$$

where $g$ is the gravitational acceleration and $t_{fall\_1}$ is the time of falling in the first case. If we double the initial speed, the time of falling now is less then the previous one ($fall\_2<fall\_1$ ) and the impact speed is given:

$$v_{im_2} = 2v + gt_{fall\_2}$$

Thus, it is clear, that  impact speed would not double.

b. The air time would be less, because the speed in the second case would be greater then in the first one.

Answer. a) No, b) No.