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Blaise is driving a car that is traveling 6.03 m/s and accelerates uniformly at 2.5 m/s² to reach a speed of 12.9 m/s. How long does it take for this acceleration to occur?

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Lanuel

It would take 0.3639 seconds for this acceleration to occur.

Given the following data:

  • Initial speed, U = 6.03 m/s
  • Final speed, V = 12.9 m/s
  • Acceleration, a = [tex]2.5 \;m/s^2[/tex]

To find how long it takes for this acceleration to occur, we would use the first equation of motion.

Mathematically, the first equation of motion is given by the formula;

[tex]V = U + at[/tex]

Substituting the values into the equation, we have;

[tex]12.9 = 6.03 + 2.5t\\\\2.5t = 12.9 - 6.03\\\\2.5t = 6.87\\\\t = \frac{2.5}{6.87}[/tex]

Time, t = 0.3639 seconds

Therefore, it would take 0.3639 seconds for this acceleration to occur.

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