At the instant the traffic light turns green, an automobile starts with a consta
ID: 1886318 • Letter: A
Question
At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.20 m/s2. At the same instant a truck, traveling with a constant speed of 8.50 m/s, overtakes and passes the automobile. (a) How far beyond the traffic signal will the automobile overtake the truck? (b) How fast will the automobile be traveling at that instant? At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.20 m/s2. At the same instant a truck, traveling with a constant speed of 8.50 m/s, overtakes and passes the automobile. (a) How far beyond the traffic signal will the automobile overtake the truck? (b) How fast will the automobile be traveling at that instant?Explanation / Answer
For Automobile, a1 = 2.20 m/s^2
and v1i = 0
For truck, v2 = 8.50 m/s and a2 = 0
(A) suppose overtakes after time t,
at this time position of both will be same.
v1i t + a1 t^2 /2 = v2 t
0 + 2.20t^2 /2 = 8.50 t
t = 7.73 s
distance = 8.50 t = 65.7 m
(B) v = v1i + a t = 0 + (2.20 x 7.73)
v = 17 m/s
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