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Ivanshal [37]
3 years ago
14

On the moon, the acceleration due to gravity is -1.6 meters per second per second. A stone is dropped from a cliff on the moon a

nd hits the surface of the moon 20 seconds later.a) How far did it fall?b) What was its velocity at impact?
Mathematics
1 answer:
zepelin [54]3 years ago
4 0

Answer:

How far did it fall? -320 meters

What was its velocity at impact? -32 m/s

Step-by-step explanation:

a) How far did it fall?

To calculate the distance traveled by the stone we must use the following formula:

d=\frac{gt^{2}}{2}

Sustituing the given values we have that:

d=\frac{-1.6\times 20^{2}}{2}\\ d=\frac{-1.6\times 400}{2}\\ d=\frac{-640}{2}\\ d=-320 m

The distance traveled by the stone was -320 meters under the released point

b) What was its velocity at impact?

To calculate the velocity we need to use the formula:

v=gt

Sustituing the given values we have that:

v=(-1.6)(20)\\v=-32 m/s

So the velocity is -32 meteres per second, the negative sign indicate that the object is going down

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