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

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

Answer :

To determine the time it takes for an object given an acceleration of 2.50 m/s², we can use the equation of motion: v = u + at, It will take 5.8 seconds for the object to reach a velocity of 14.5 m/s

The equation of motion relating velocity, acceleration, and time is given by v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

In this case, the object starts from rest, so the initial velocity (u) is 0 m/s. The acceleration (a) is given as 2.50 m/s², and the desired final velocity (v) is 14.5 m/s.

Rearranging the equation, we have t = (v - u) / a.

Substituting the given values, we get t = (14.5 m/s - 0 m/s) / 2.50 m/s².

Simplifying the expression, we find t = 5.8 s.

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

To learn more about acceleration, click here brainly.com/question/460763

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