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1- A bus makes a trip according to the position-time graph shown in the drawing.

ID: 1309525 • Letter: 1

Question

1- A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during each of the segments A, B, and C? Express your answers in km/h. The scale for the time axis is 2.5 h per increment, and scale for the velocity axis is 370 km per increment. (Indicate direction by the sign of the velocity.)

segment A km/h
segment B km/h
segment C km/h

2-A person who walks for exercise produces the position-time graph given below.

a) Without doing any calculations, decide which segments of the graph (A, B, C, or D) indicate positive, negative, and zero average velocities.
A   ---Select--- zero negative positive
B   ---Select--- positive zero negative

C   ---Select--- zero negative positive  
D   ---Select--- negative zero positive  

(b) Calculate the average velocity for each segment to verify your answers to part (a).
A     m/s
B     m/s
C     m/s
D     m/s

Explanation / Answer

1.
Average velcity: Change in position/time taken

A : -(3*370)/(3*2.5)
= -148km/hr
B : (2*370)/(2*2.5)
= 148km/hr
C : (2*370)/(2.5)
= 296km/hr

2.
a)
A: positive
B: zero
C: negative
D: positive
b)
A: 1/0.20
= 5km/hr
= 1.388m/s
B: 0/0.20
= 0m/s
C: -(0.75)/0.20
= -3.75km/hr
= -1.041m/s
D: 1/0.40
= 2.5km/hr
0.694m/s