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If an object moves in a straight line, starts from rest, and accelerates to [tex]2.50 \, \text{m/s}^2[/tex], how much time will it take to reach a velocity of [tex]14.5 \, \text{m/s}[/tex]?

A. 8.50 s
B. 0.17 s
C. 1.48 s
D. 5.80 s
E. 36.3 s

Answer :

The time it will take for the object to reach a velocity of 14.5 m/s is approximately 5.8 seconds.

To determine the time it takes for the object to reach a velocity of 14.5 m/s, we can use the equation of motion:

v = u + at

where v is the final velocity, u is the initial velocity (0 m/s since the object starts from rest), a is the acceleration, and t is the time. Rearranging the equation to solve for time:

t = (v - u) / a

Substituting the given values:

t = (14.5 m/s - 0 m/s) / 2.50 m/s^2

t = 5.8 s

Therefore, it will take approximately 5.8 seconds for the object to reach a velocity of 14.5 m/s.

To learn more about acceleration, click here:

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