A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s tow

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3-2.Motion in Plane

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A body is moving with velocity $30\; m/s$ towards east. After $10$ seconds its velocity becomes $40\; m/s$ towards north. The average acceleration of the body is ...... $m/s^2$

A

$5$

B

$7$

C

$\sqrt 7$

D

$1$

(AIPMT-2011)

Solution

Initial velocity $u =30 \hat{i}$

Final velocity $v=40 \hat{j}$

Change in velocity $\Delta v=40 j -30 i$

Magnitude $|\Delta v|=\sqrt{30^2+40^2}=50$

Average acceleration $a =\frac{|\Delta v |}{\Delta t }=\frac{50}{10}=5 \;m / s ^2$

Standard 11

Physics

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