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At the instant a traffic light turns green, an automobile that has been waiting

ID: 1683135 • Letter: A

Question

At the instant a traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2.00 m/s^2. At the same instant, a truck traveling with a constant speed of 18.0 m/s overtakes and passes the automobile. A. How far beyond the starting point does the automobile overtake the truck? B. How fast is the automobile traveling when it overtakes the truck? At the instant a traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2.00 m/s^2. At the same instant, a truck traveling with a constant speed of 18.0 m/s overtakes and passes the automobile. A. How far beyond the starting point does the automobile overtake the truck? B. How fast is the automobile traveling when it overtakes the truck?

Explanation / Answer

Distance traveled by automobile = ut +at2/2 =0 + 2t2/2 = t2 m So as it overtake , distance traveled will be same for both , => 18t = t2 => t = 18 sec So Distance traveled = 18t = 324 m b)Velocity of automobile = u +at = 0 + 2*18 = 36 m/s