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## A video game includes an asteroid that is programmed to move in a straight line across a 17-inch monitor according to the equation x=6.5t−2

Question

A video game includes an asteroid that is programmed to move in a straight line across a 17-inch monitor according to the equation x=6.5t−2.3 t 3 x=6.5t−2.3t3 , where x is in inches and t is in seconds. At some point during the trip across the screen, the asteroid is at rest. What is the asteroid’s acceleration at this point?

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Physics
3 years
2021-07-15T13:25:44+00:00
2021-07-15T13:25:44+00:00 1 Answers
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## Answers ( )

Answer:The asteroid’s acceleration at this point is

Explanation:The equation that governs the trajectory of asteroid is given by :

The velocity of asteroid is given by :

At some point during the trip across the screen, the asteroid is at rest. It means, v = 0

So,

Acceleration,

Put t = 0.971 s

So, the asteroid’s acceleration at this point is and it is decelerating.