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A delivery truck travels 21 blocks north, 16 blocks east, and 26 blocks south. What is its final displacement from the origin? Assume the blocks are equal length.
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Solution:
Explanation:
Given:
The truck travels 21 blocks north, 16 blocks east and 26 blocks south.
The blocks are of equal length.
Formula used:
The magnitude of the resultant vector and direction can be obtained using the following formulae:
Where, P and Q are vectors and
Calculations:
As per question, there are three displacement vectors.
Let’s represent it in a diagram:
Substitute the values and solve to find the magnitude of the resultant displacement.
Now, substitute the values to find the direction:
It will be directed South of East.
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Physics: Principles with Applications
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