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Question

Physics Question on Motion in a plane

A man travels 1 mile due east, then 5 miles due south, then 2 miles due east arid finally 9 miles due north. His displacement is.

A

3 miles

B

5 miles

C

4 miles

D

between 5 and 9 miles

Answer

5 miles

Explanation

Solution

Sˉ=i^+5(j^)+2i^+9j^=3i^+4j^\bar{S} = \hat{i} + 5 (- \hat{j}) +2 \hat{i} + 9 \hat{j} = 3 \hat{i} + 4 \hat{j} S=5milesS = 5 \, miles