Question

One afternoon, a couple hikes 55.0  % of the way around a circular lake, the radius of which is
2.60  km . They start at the west side of the lake and head due south to begin their hike.

a) If the couple makes the trip in 3.8  hours , what is their average speed for the trip?

b) What is the displacement for the couple's hiking trip? give your answer as an ordered pair, with magnitude first, followed by a comma, then followed by the direction. Give the direction in terms of an angle measured CCW from the Easterly direction.

c) If the couple makes the trip in 3.8  hours , what is their average velocity for the trip? Give the magnitude of their average velocity.

d) Assume that the couple walks at a constant speed for the entire duration of their hiking trip. Consider two instants in their trip, with the first instant being when the couple was at the Southernmost point in their trip, and the second instant being when the couple was at the Easternmost point in their trip. What was the change in velocity of the couple between these two instants in time?give your answer as an ordered pair, with magnitude first, followed by a comma, then followed by the direction. Give the direction in terms of an angle measured CCW from the Easterly direction.

e)At the end of their hike, the couple catches a shuttle bus back to their starting point, where they have left their car. What is the direction of the displacement for their bus trip? Give the direction in terms of an angle measured CCW from the Easterly direction. give the direction in terms of an angle measured CCW from the Easterly direction.

Answer 1

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