2. Chaitanya drives her scooter 7 kilometres north. She stops for lunch<br />and then drives 5 kilometres east. What distance did she cover? What<br />was her displacement?
Answers
Displacement is not the distance he drove, but rather the distance he is located away from his starting point. It might be easier to remember this by thinking is "displaced" from his original location.
The easiest way to set this up might be to draw a picture on graph paper. Since he drove 7km north, draw a vertical line 7 boxes tall (each box = 1 km). Since he drove 5 km east, draw a horizontal line (starting from the top of the 7km line) 5 boxes long. Connect the two lines to form a triangle. So you know the length of two sides of the triangle, but you need the length of the hypotenuse (which is also the displacement).
To find the length of one missing side in a triangle, you can use the Pythagorean Theorem:
a2 + b2 = c2
72 + 52 = c2
49 + 25 = c2
74 = c2
√74 = c2
c ≈ 8.60 km
this was his displacement.His distance would be 12 km in total.
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