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A spy report about a suspected car reads...

A spy report about a suspected car reads as follows. The car moved 2.00 km towards east, made a perpendicular left turn, ran for 500 m, made a perpendicular right turn, ran for 4.00 km and stopped. Find the displacement of the car.

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The correct Answer is:
6.02 km
`vec(AD) =2hati+0.5hatj+4hatj, =6hati+0.5hatj, AD = sqrt(AE^2+DE^2), sqrt(6^2+(0.5)^2), -(36+0.25)=6.02 km`, Now, `tan theta =(DE)/(AE)`= `1/12, rarr theta = tan^-1 (1/12)`, Hence displacement of the car is 6.02 km along the direction `tan^-1(1/2)` with +ve x-axis.
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HC VERMA-PHYSICS AND MATHEMATICS-Exercises
  1. Refer to figure Find a the magnitude, b x and y components and c. the ...

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  2. Two vectors have magnitudes 3 unit and 4 unit respectively. What shoul...

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  3. A spy report about a suspected car reads as follows. The car moved 2.0...

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  4. A carrom board (4ftxx4ft ) has the queen at the centre. The queen hit ...

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  5. A mosquito net over a 7ftxx4ft bed is 3 ft high. The net hs a hole at ...

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  6. Suppose veca is a vector of magnitude 4.5 unit due north. What is the ...

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  7. Two vectors have magnitudes 2 m and 3m. The angle between them is 60^0...

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  8. Let A1 A2 A3 A4 A5 A6 A1 be a regular hexagon. Write the x-components ...

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  9. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

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  10. Prove that vecA.(vecAxxvecB)=0

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  11. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

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  12. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

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  13. A particle moves on a given straight line with a constant speed v. At ...

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  14. The force on a charged particle due to electric and magnetic fields is...

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  15. Give an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

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  16. If y= sin x and x changes from pi/2 to pi, the approximate change in y...

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  17. The electric curren in a charging R-C circuit is given by i=i0e^(-t/RC...

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  18. The electric current in a discharging R-C circuit is given by i=i0e^(-...

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  19. Find the area bounded under the curve y=3x^2+6x+7 X-axis with the ordi...

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  20. Find the area enclosed the curve y=sin x and the X-axis between x=0 an...

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