## An astronaut on the moon throws a baseball upward with an initial velocity of 10 meters per second, letting go of the baseball 2 meters abov

Question

An astronaut on the moon throws a baseball upward with an initial velocity of 10 meters per second, letting go of the baseball 2 meters above the ground. The equation of the baseball pathway can be modeled by h= -0.8t^2+10t+2. The same experiment is done on earth, in which the pathway is modeled by equation h= -4.9t^2+10t+2. How much longer would the ball stay in the air on the moon compared to on the Earth

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2021-10-05T22:01:31+00:00
2021-10-05T22:01:31+00:00 1 Answer
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## Answers ( )

Answer:The baseball will stay 10.47s longer on the moon than on the earth.

Step-by-step explanation:The amount of time the baseball on the moon will stay in air is until

.

(i.e when the ball reaches the ground)Similarly, the amount of time the baseball on earth will stay in air is until

The solution to these equations can be found using the quadratic formula.

For the baseball on the moon

whose positive solution is

And for the baseball on earth

whose positive solution is

Thus, the baseball will staylonger on the moon than on the earth.