An SUV is accelerated from rest to a speed v in a time interval t. Neglecting air resistance effects and assuming the engine is operating at its maximum power rating when accelerating, determine the time interval for the SUV to accelerate from rest to a speed 2v. a. 2t
b. 4t
c. 2.5t
d. 3t

A.

Explanation:

The SUV accelerates uniformly. In this case, speed () is directly proportional to time (). That is:

(1)

Where is the proportionality constant.

Then, we eliminate this constant by creating the following relationship:

(2)

If we know that , and , then the time interval for the SUV to accelerate from rest to a speed is:

Hence, correct answer is A.

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.

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