On his fishing trip Justin takes the boat 12 km south. The fish aren’t biting so he goes 4 km west. What distance did he cover? What was his displacement?
Answers
Explanation:
Given, On a fishing trip; Justin rides in a boat 12 km south, then 4 km west, and finally, 1 km north. Hence, the total distance traveled by Justin is 17 kilometers and his total displacement is approximately equal to 11.7 kilometers.
Justin covered a distance of 16 km and his displacement was 12.65 km.
Given:
On his fishing trip, Justin takes the boat 12 km south. The fish aren’t biting so he goes 4 km west.
To find:
What distance did he cover? What was his displacement?
Solution:
To find the distance Justin covered calculate the length of the path along which he traveled.
=> Distance travelled = 12 km + 4 km = 16 km
To find Justin's displacement, we need to calculate the straight-line distance between his starting point and his final position.
This is the shortest distance between the two points and is equal to the hypotenuse of a right triangle with legs of 4 km and 12 km.
[ For more understanding observe the picture ]
Use the Pythagorean theorem to calculate the length of the hypotenuse:
Displacement = √(12)² + (4)²
= √144 + 16 = √160 = 12.65 km (rounded to two decimal places)
Therefore,
Justin covered a distance of 16 km and his displacement was 12.65 km.
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