# Kinematics: Determining Distance Traveled From Average Velocity

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In reaching her destination, a backpacker walks with an average velocity of 1.14 m/s, due west. This average velocity results, because she hikes for 6.17 km with an average velocity of 2.53 m/s, due west, turns around, and hikes with an average velocity of 0.747 m/s, due east. How far east did she walk (in terms of km)?

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The solution is comprised of a brief but concise step by step response of the calculation required to determine the distance traveled in a kinematics problem involving average velocity.

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Suppose she walks x m east.

Distance travelled due west = 6170 m

Average velocity when travelling west = 2.53 m/s

Time taken to travel this distance = distance/speed = ...

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