Respuesta :
The time required for the object to accelerate is 10 seconds.
Given the following data:
- Acceleration = 2.0 [tex]m/s^2[/tex]
- Initial velocity = 8.0 m/s.
- Final velocity = 28 m/s.
To find the time required for the object to accelerate, we would use the first equation of motion:
Mathematically, the second equation of motion is given by the formula;
[tex]V = U + at[/tex]
Where:
- V represents the final velocity.
- U is the initial velocity.
- a represents the acceleration.
- t is the time measured in seconds.
Substituting the parameters into the formula, we have;
[tex]28.0 = 8.0 + 2t\\\\2t = 28.0 - 8.0\\\\2t = 20.0\\\\t = \frac{20.0}{2}[/tex]
Time, t = 10 seconds.
Therefore, the time required for the object to accelerate is 10 seconds.
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