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A test car initially at rest accelerates forward at a constant rate of 2 m/s². How fast does the car move after traveling 4 meters?

A) 4 m/s
B) 8 m/s
C) 12 m/s
D) 16 m/s

1 Answer

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Final answer:

The car accelerates at 2 m/s² and after traveling 4 meters, the car's velocity is 4 m/s, which is option A).

Step-by-step explanation:

The test car, initially at rest, accelerates at a constant rate of 2 m/s². We're looking for the car's velocity after traveling 4 meters. To solve this problem, we can use the kinematic equation v² = u² + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled. As the car starts from rest, u = 0, a = 2 m/s², and s = 4 m. Substituting the known values, we get 0 + 2*2*4 which gives us = 16, and hence v = 4 m/s. Therefore, after traveling 4 meters, the car moves at 4 m/s, which corresponds to option A).

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