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9 March, 01:15

A car driving on the turnpike accelerates uniformly in the positive x direction from 80 ft/s (54.5 mph) to 103 ft/s (70.2 mph) in 3.10s. What is the x - component of the car's acceleration?

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  1. 9 March, 01:18
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    Acceleration = (change in speed) / (time for the change)

    Change in speed = (ending speed) - (starting speed)

    = (103 fps) - (80 fps) = 23 ft/sec.

    Acceleration = (23 ft/sec) / (3.1 sec) = 7.42 ft/sec².

    Since the acceleration was uniform in the x-direction,

    its component in the x-direction is 7.42 ft/sec², and it

    has no other component.
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