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Question

Question: Will the final speed of each of the balls be same before hitting the ground if they are thrown from ...

Will the final speed of each of the balls be same before hitting the ground if they are thrown from same height h with same initial speed?

A

Yes

B

No

Answer

Yes, the final speed will be the same

Explanation

Solution

Using energy conservation, we have:

mgh+12mu2=12mv2mgh + \frac{1}{2}mu^2 = \frac{1}{2}mv^2

Thus,

v=u2+2ghv = \sqrt{u^2 + 2gh}

Since uu (the initial speed) and hh are the same for all balls, all balls will have the same final speed, regardless of the direction in which they were thrown.