Kinematics Question 117

Question: A Body moves 6 m north. 8 m east and 10m vertically upwards, What is it’s resultant displacement from initial position [DCE 2000]

Options:

A) $ 10\sqrt{2}m $

B) $ 10m $

C) $ \frac{10}{\sqrt{2}}m $

D) $ 10\times 2m $

Show Answer

Answer:

Correct Answer: A

Solution:

$ \vec{r}=x\hat{i}+y\hat{j}+z\hat{k} $
$ \therefore $ $ r=\sqrt{x^{2}+y^{2}+z^{2}} $ r $ =\sqrt{6^{2}+8^{2}+10^{2}}=10\sqrt{2}\ m $



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