Question

One afternoon, a couple hikes 70.0 % of the way around a circular lake, the radius of which is 2.80 km . They start at the west side of the lake and head due south to begin their hike. If the couple makes the trip in 3.5 hours , what is their average speed for the trip?(A)If their position is measured from the center of the lake, then what was their starting position vector? (B)If their position is measured from the center of the lake, then what was their position vector at the end of their hike? First give the magnitude. (C)If their position is measured from the center of the lake, then what was their position vector at the end of their hike? Now give the direction. (D) Give the direction in terms of an angle measured CCW from the Easterly direction. What is the E-W component of the couple's final position vector? (E) What is the N-S component of the couple's final position vector? (F)The displacement vector is the final position vector subtract the initial position vector; this statement is of course true for each component of the displacement vector. What is the E-W component of the displacement vector? (G)The displacement vector is the final position vector subtract the initial position vector; this statement is of course true for each component of the displacement vector. What is the N-S component of the displacement vector? (H)Now use the Pythagorean Theorem and right-triangle trigonometry to convert the components of the displacement vector into magnitude and direction.

Answer 1

Cojo ldD 3.5 冫.tee. circle t 36x2 3.665 2 6633 i) (G) N-S Co-ran t= 2.663 kw. angle: tan2663 36.00