Motion in a Straight Line - Result Question 14

14. 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

(a) $1 m / s^{2}$

(b) $7 m / s^{2}$

(c) $7 m / s^{2}$

(d) $5 m / s^{2}$

[2011]

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Answer:

Correct Answer: 14. (d)

Solution:

  1. (d) Average acceleration

$=\frac{\text{ Changein velocity }}{\text{ Total Time }}$

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

$\langle a\rangle=\sqrt{4^{2}+(-3)^{2}}$

$=5 m / s^{2}$



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