A car starts from rest on a highway accelerates in a straight line at a constant rate 4 m/s2 for 10 sec. How far does the car travel during this time? Calculate its final velocity.
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The equation for problems of this sort is as follows:
distance = (1/2)(a)(t^2)
distance = (1/2)(3.0 m/sec^2) x (8.0 sec^2)
distance = 96 meters
You can also think about it this way. With constant acceleration, the average velocity will occur at the midpoint of the time or (1/2)(8.0 sec)(3.0 m/sec^2) or 12 m/sec.
Then 12 m/sec x 8.0 sec = 96 meters
Explanation:
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