Question

A body is moving with velocity 30m/S towards east . After 10s its velocity becomes 40m/s towards north. The average acceleration of the body is

A)7 m/s
B)5 m/s
C)2 m/s
D)8 m/s​

Answer 1

Answer:

CORRECT ANSWER IS B 5m/s^2

Explanation:

REFER TO THE ATTACHMENT...HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST...

Answer 2

$\huge{\underline{\underline{.........Answer.........}}}$

$\huge{\underline{Given:-}}$

It is moving 30m/s towards east.

and, 40 m/s towards North.

$\huge{\underline{Explanation:-}}$

Taking east as x axis and North as y axis as they are mutually perpendicular.

${initial velocity \vec{v_i} = 30 \hat{i} \:in east direction}$

${Final velocity \vec{v_f} = 40 \hat{j} \:in east direction}$

Now from acceleration

$\huge{\boxed{\boxed{a = \frac{|v_f - v_i|}{t}}}}$

${a = \frac{40 \hat{j} - 30\hat{i}}{10}}$

Their magnitude should be taken.

${a = \frac{ \sqrt{ {40}^{2} + {30}^{2} } }{10}}$

${ a = \frac{ \sqrt{1600 + 900} }{10}}$

${a = \frac{ 50 }{10}}$

${a =5 m/s^2}$

$\huge{\boxed{\boxed{a = 5 m/s^2}}}$

$\huge{\boxed{\boxed{option - B}}}$

so, acceleration of the body is 5m/s^2.