An empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a mot
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The object's <u>initial velocity</u> is equal to
Why?
From the statement we know the height of the tree and the time it takes to reach the ground, so, if we need to calculate its initial velocity, we can use the following formula:
Where,
y, is the final height (0 meters in this case)
yo, is the initial height (111 meters in this case)
t, is the time elapsed (3.8 seconds in this case)
vo, is the initial speed.
g, is the acceleration due to gravity (-9.81 m/s2)
Now, let's set the origin at the top of the tree, so, rewriting the formula, we have:
So, isolating the initial velocity, we have:
Finally, substituting and calculating, we have:
Hence, we have that the <u>initial velocity</u> of the object is
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