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A car is moving at (12 , {m/s}). It decelerates at (1.5 , {m/s}^2) for (3 , {s}). What is the car's final velocity?

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Final answer:

To find the car's final velocity, we can use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Substituting the given values into the equation, the car's final velocity is 7.5 m/s.

Step-by-step explanation:

To calculate the final velocity of the car, we can use the equation:

v = u + at

where:
v = final velocity
u = initial velocity
a = acceleration
t = time

In this case, the initial velocity (u) of the car is 12 m/s, the acceleration (a) is -1.5 m/s² (negative because it is decelerating), and the time (t) is 3 seconds. Substituting these values into the equation, we have:

v = 12 + (-1.5 * 3) = 12 - 4.5 = 7.5 m/s

Therefore, the car's final velocity is 7.5 m/s.

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