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A car accelerates at a rate of 1.2 m/s² and starts from rest at a traffic light. It takes 25 seconds to accelerate to the speed limit. What is the car's final velocity?

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Final answer:

Using the kinematic equation v = u + at, the car's final velocity after accelerating from rest at 1.2 m/s² for 25 seconds is calculated to be 30 m/s.

Step-by-step explanation:

To find the car's final velocity after accelerating from rest with an acceleration of 1.2 m/s² for 25 seconds, we use the kinematic equation v = u + at, where v is the final velocity, u is the initial velocity (which is 0 since the car starts from rest), a is the acceleration, and t is the time.

Substituting the given values into the equation, we have:
v = 0 + (1.2 m/s²)(25 s) = 30 m/s.
So, the car's final velocity is 30 m/s.

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