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Position vector of a particle is related...

Position vector of a particle is related to time t as `vecr=(t^2-1)hati+2thatj`. The locus of the particle on the x-y plane is

A

parabolic

B

circular

C

straight line

D

elliptical

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The correct Answer is:
A
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CHHAYA PUBLICATION-VECTOR-EXERCISE (Multiple Choice Questions)
  1. 0.2 hati+0.6 hatj+ahatk is a unit vector. Value of a should be

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  2. vecR is the resultant of the vectors vecA and vecB. If R=B/(sqrt(2)) t...

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  3. Position vector of a particle is related to time t as vecr=(t^2-1)hati...

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  4. Two forces of the same magnitude F are at right angles to each other....

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  5. If a and b two unit vectors inclined at an angle of 60^@ to each other...

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  6. The condition (a*b)^2 =a^2b^2 is satisfied when

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  7. If vecP+vecQ=vecR and |vecP|=|vecQ|=sqrt(3) and |vecR|=3 , then the ...

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  8. The angles which the vector vecA =3hati+6hatj+2hatk makes with the coo...

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  9. If veca+vecb=vecc, and a+b=c then the angle between veca and vecb is

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  10. If a1 and a2 are two non-collinear unit vectors and if |a1+a2|=sqrt(3)...

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  11. Which of the following is a vector quantity ?

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  12. The resultant of two forces of magnitude (x+y) and (x-y) is sqrt(x^2+y...

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  13. The sum of magnitudes of two forces acting at a point is 16 N. The r...

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  14. Two men have velocities of 4 m/s towards east and 3 m/s towards sout...

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  15. Two forces in the ratio 1:2 act simultaneously on a particle. The resu...

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  16. Given vecA=2hati+3hatj and vecB=hati+hatj . The component of vector ve...

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  17. One of the components of a velocity vector of magnitude 50 m*s^(-1) i...

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  18. The times of flight of two projectiles are t1 and t2. If R be the hor...

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  19. For angles theta and (90^@-theta) of projection, a projectile has the ...

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  20. An aeroplane is flying with a velocity of 216 km/h at an altitude of 1...

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