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How long would it take an object initially at rest to experience an acceleration of [tex]$99.8 \, \text{m/s}^2$[/tex] that results in a velocity of [tex]$489 \, \text{m/s}$[/tex]?

Answer :

Final answer:

To determine the time it would take for an object initially at rest to experience a 99.8 m/s² acceleration that results in a velocity of 489 m/s, we can use the equation v = u + at.


Explanation:

To determine the time it would take for an object initially at rest to experience a
99.8 m/s² acceleration that results in a velocity of 489 m/s, we can use the
equation:


v = u + at


where v is the final velocity, u is the initial velocity (0 in this case), a is the acceleration, and t is the time. Rearranging the equation to solve for t, we get:


t = (v - u) / a


Plugging in the given values, we have:


t = (489 m/s - 0) / 99.8 m/s²


Evaluating the expression, we find that it would take approximately 4.91 seconds for the object to reach the final velocity of 489 m/s.


Learn more about Calculating time for an object to reach a specific velocity here:

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