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A car is moving 40 m due east, turns tow...

A car is moving 40 m due east, turns towards north moves 30 m, then turns `45^(@)` east of north moves `20sqrt(2)m`. The net displacement of car is (East is taken positive x-axis, North as positive y-axis)

A

`50hat(i) + 60 hat(j)`

B

`60hat(i) + 50 hat(j)`

C

`30 hat(i) + 40 hat(j)`

D

`40 hat(i) + 30 hat(j)`

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The correct Answer is:
B
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AAKASH SERIES-MOTION IN A PLANE -Practice Exercise
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  2. A car is moving 40 m due east, turns towards north moves 30 m, then tu...

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  3. If vec(A) = 3hat(i) - 4hat(j) and vec(B) = -hat(i) - 4hat(j), calculat...

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  4. The resultant of the forces vec(F)(1) = 4hat(i) - 3hat(j) and vec(F)(2...

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  5. The horizontal and vertical components of a force re 8 N and 15 N resp...

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  6. An aeroplane is heading north east at a speed of 141.4ms^(-1). The nor...

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  7. To go from town A to ton B a plane must fly about 1780 km at an angle ...

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  8. A wheel of perimeter 4pi m is rolling on a horizontal surface. The dis...

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  9. Given two vectors vec(A) = hat(i) - 2hat(j) - 3hat(k) and vec(B) = 4ha...

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  10. If the two directional cosines of a vectors are (1)/(sqrt(2)) and (1)/...

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  11. If vec(P) = hat(i) + hat(j) + hat(k), its direction cosines are

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  12. If vec(A) = 2hat(i) - 3hat(j) + 4hat(k) its component in xy plane is

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  13. The unit vector parallel to the resultant of the vectors vec(A) = 4hat...

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  14. A vector hat(i) + sqrt(3) hat(j) rotates about its tail through an ang...

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  15. If the angle between two vectors of equal magnitude P is theta, the ma...

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  16. Two forces are in the ratio of 5:2. The maximum and minimum of their r...

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  17. Two equal forces of magnitude .p. each are angled first at 60^(@) late...

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  18. Three vectors vec(P), vec(Q), vec(R) obey vec(P) + vec(Q) = vec(R) and...

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  19. The resultant of two forces 2 N and 3 N is sqrt(19) N. The angle betw...

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  20. Twelve forces each of 5 N act on a body simultaneously. If each force ...

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