It will take the object 5.306 seconds to come to rest.
Given the following data:
- Initial velocity = 52 m/s
- Acceleration = -9.8 [tex]m/s^2[/tex]
To find how much time it will take the object to come to rest, we would use the first equation of motion;
Mathematically, the first equation of motion is calculated by using the formula;
[tex]V = U + at\\\\0 = 52 + (-9.8)t\\\\0 = 52 - 9.8t\\\\52 = 9.8t\\\\t = \frac{52}{9.8}[/tex]
Time, t = 5.306 seconds.
Therefore, it will take the object 5.306 seconds to come to rest.
Note: The final velocity (V) of the object would be zero (0) m/s when the object comes to rest.
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