Two students, A and B, leave Atlantic Terminal together, walking down Flatbush A

Question

Two students, A and B, leave Atlantic Terminal together, walking down Flatbush Ave to LIU. Two minutes in to the trip, student B stops for 2 minutes to buy coffee at Starbucks, while student A continues walking. Student B then catches up with Student A, 1 minute after leaving Starbucks, but be doesn't see Student A and passes right by her. The graph below shows the positions of the students, labeled A and B, as a functions of time. Five minutes in to the trip (at t = 5 min), are the velocities of the students equal? If not, which is larger? For the first 5 minutes of the trip (from t = 0 to r = 5 min), are the average velocities of the students equal? If not, which is larger? For the time between t = 3 min and t = 5 min is the average acceleration of student A positive, negative, or zero? For the time between t - 3 min and t = 5 min is the average acceleration of student B positive, negative, or zero?

Explanation / Answer

a) the velocity is equivalent to the slope in a x vs t graph, at t=5 B has a greater slope menaing that B has a larger velocity

b) Since they coincide at 5 min from 0 to 5 min they have the same average velocity (X=V_aveT)

c) and d) Since this is a position vs time graph the acceleration is present if the form of this type of graph is parabollic (2nd grade polynomics). In this case both A and B have linear displacements menaing that the velocity is constant so for both A and B the acceleration is zero

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