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Question

An airplane flies 400m north and 300m south and then flies 1200m upwards then net displacement is:


A

1400m

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B

1204.15m

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C

1300m

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D

1500.15m

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Solution

The correct option is B

1204.15m


Step 1: Given

Distance travelled in North: D1=400m

Distance travelled in the South: D2=300m

Distance travelled Upwards: D3=1200m

The motion of the plane could be better understood by the following diagram:

solution

Step 2: Formula Used

hypotenuse2=perpendicular2+base2

Step 3: Calculate the displacement of the plane

Calculate the distance from point A to point C by subtracting the distance of CB from AB

AC=AB-CB=D1-D2=400m-300m=100m

Calculate the distance from point A to point D using the hypotenuse theorem

AD2=AC2+CD2AD=AC2+CD2=1002+12002=145000=1204.15

Hence, the net displacement is 1204.15m.

Thus, option (B) is correct.


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