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A car travels on a straight track during the time interval 0 < t < 60 seconds. The car's velocity v measured in feet per second and acceleration are:

a. Related by the formula v = at
b. Related by the formula v = a/t
c. Related by the formula v = a + t
d. Related by the formula v = a - t

User Balaji V
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1 Answer

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Final answer:

The velocity of a car with constant acceleration is determined by the formula v = vo + at, not just v = a + t; the initial velocity must also be considered. None of the options provided is entirely accurate, but option (c) is the closest when initial velocity is zero.

Step-by-step explanation:

The car's velocity (v) and acceleration (a) are related by physics equations which describe motion. When a car travels on a straight track and has a constant acceleration, the relationship between velocity and time is linear. This is represented by formula v = at + vo, where vo is the initial velocity (which can be zero if the car starts from rest) and t is the time. Given the provided options, none exactly match the correct relationship. If the acceleration is constant, the correct relationship is closest to option (c) v = a + t, but it must be noted that the initial velocity must be included as well, and the correct equation should have the format of v = vo + at.

User Stemkoski
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