Link walks 5 miles east, then 7 miles north then 2 miles south
If you draw a simple diagram you’ll see that your displacement from the start is 5 miles East and 7 miles North and then 2 miles south
These distances are the sides of a right-angled triangle. The displacement you are looking for is the hypotenuse of the triangle. Use the Pythagorean theorem to calculate it.
Displacement
= √ (5+2)^2 + 7^2)
= 9.899 miles
Distance
= 5+7+2
= 14 miles
Time to complete his whole journey = 4 hours
Average Speed= Distance travelled / Time
= 14÷4
= 3.5 miles/hour
Average velocity= Displacement / Time
= 9.899÷4
= 2.47475 miles/hour
The distance is 14 miles and the displacement is 9.899 miles, the Average Speed is 3.5 miles/hour and the Average Velocity is 2.47475 miles/hour
Learn more about Speed, Distance and Time here
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