In reaching her destination, a backpacker walks with an average velocity of 1.17 m/s, due west. This average velocity results, because she hikes for 6.57 km with an average velocity of 2.53 m/s, due west, turns around, and hikes with an average velocity of 0.425 m/s, due east. How far east did she walk?

An athlete swims the length of a 41.0-m pool in 15.0 s and makes the return trip to the starting position in 21.7 s. (a) Determine the value of her average speed (in m/s) in the first half of the swim. m/s (b) Determine the value of her distance traveled for the entire round trip. m (c) Determine the value of her average velocity (in m/s) for the entire round trip. m/s (d) Determine the value of her average speed (in m/s) for the entire round trip. m/s

A woman walks 2.05 km south and then 2.75 km east, all in 2.60 hours. (a)What is the magnitude (in km) and direction (in degrees south of east) of her displacement during the given time? (b) What is the magnitude (in km/h) and direction (in degrees south of east) of her average velocity during the given time? (c)What was her average speed (in km/h) during the same time interval?

A child plays on an escalator by going up and down while the escalator is moving. When he runs upward in the same direction with the escalator he can reach the upper level in 27 seconds. Then he runs downward in the opposite direction of the escalator, and he reaches the lower level in 79 seconds. The child has the same average speed relative to the escalator in both cases. If the speed of the escalator is 1.58 m/s, calculate the speed of the child. Please use m/s unit for the answer. Thank you