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Multiple Choice
A car traveling at an initial velocity of comes to a stop in after the brakes are applied. What is the magnitude of the car's acceleration during this time?
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1
Identify the known quantities: initial velocity \(v = 20\ \text{m/s}\), final velocity \(v_f = 0\ \text{m/s}\) (since the car comes to a stop), and time \(t = 4\ \text{s}\) over which the velocity changes.
Recall the formula for acceleration when velocity changes uniformly over time: \(a = \frac{v_f - v}{t}\).
Substitute the known values into the formula: \(a = \frac{0 - 20}{4}\).
Calculate the magnitude of the acceleration by taking the absolute value of the result, since acceleration is a vector and the problem asks for magnitude.
Interpret the result as the magnitude of the car's acceleration during the braking period.