At the instant the traffic light turns green, an automobilestarts with a constan
ID: 1763792 • Letter: A
Question
At the instant the traffic light turns green, an automobilestarts with a constant acceleration a of 2.2 m/s2. At the same instant a truck,traveling with a constant speed of 8.9m/s, overtakes and passes the automobile. (a) How far beyond the traffic signal will the automobileovertake the truck?b) How fast will the car be traveling at thatinstant?
At the instant the traffic light turns green, an automobilestarts with a constant acceleration a of 2.2 m/s2. At the same instant a truck,traveling with a constant speed of 8.9m/s, overtakes and passes the automobile. (a) How far beyond the traffic signal will the automobileovertake the truck?
b) How fast will the car be traveling at thatinstant?
Explanation / Answer
Given that theacceleration of the car is a = 2.2 m/s2 The speed of truck is v = 8.9 m/s ---------------------------------------------------------------------- Let distance S where truck overtakes automobile S =ut + (1/2)a*t12 (for automobile) = 0 +(1/2)a*t2 and for truck S = v*t Then v*t =(1/2)a*t2 t = 2v / a = -------sec Then distance traveled is S = v*t = --------- m (b) Final velocity of car V = 0 + at =--------- m/s
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