question_answer

A particle is moving with velocity 5 m/s towards east and its velocity changes to 5 m/s north in 10 seconds. Find the average acceleration in 10 seconds.

A) \[\sqrt{2}N-W\]

B) \[\frac{1}{\sqrt{2}}N-W\]

C) \[\frac{1}{\sqrt{2}}N-E\]

D) \[\sqrt{2}N-E\]

Correct Answer: B

Solution :

[b] \[\vec{a}=\frac{{{{\vec{V}}}_{f}}-{{{\vec{V}}}_{i}}}{{{\Delta }_{t}}}\]

\[\vec{a}=\frac{5\hat{j}-5\hat{i}}{10}\]

\[|\vec{a}|\,=\,\frac{5\sqrt{2}}{10}=\frac{1}{\sqrt{2}}\,m/{{s}^{2}}\]

Direction North West