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If the position vector of a body perform...

If the position vector of a body performing rectilinear motion is given by `vecr = 3t^2hati + 4t^2hatj` m. Find the velocity and acceleration of the particle at t= 1sec.

A

`sqrt(265)m//s`

B

`sqrt(276)m//s`

C

`sqrt(246)m//s`

D

`sqrt(255)m//s`

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A
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TARGET PUBLICATION-SCALARS AND VECTORS-Competitive Thinking
  1. A vector vec(A) points verically upward and vec(B) points towards nort...

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  2. Which of the following relation is not correct?

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  3. What is the value of linear velocity if vecomega = 3 hati - 4hatj + ha...

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  4. If vec(A)xxvec(B)=vec(B)xxvec(A), then the angle between vec(A) and ve...

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  5. The moment of the force, vec F = 4 hat i + 5 hat j - 6 hat k at (2,0,-...

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  6. A force vec F = prop hat i + 3 hat j + 6 hat k is acting at a point ve...

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  7. Two particles A and B are moving as shown in the figure. Their total a...

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  8. The velocity of a particle of mass m is vec(v) = 5 hat(i) + 4 hat(j) +...

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  9. Two adjacent sides of a parallelogram are respectively by the two vect...

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  10. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

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  11. The component of a vector r along X-axis will have maximum value if

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  12. If |vecA xx vecB| = sqrt3 vecA *vecB, then the value of |vecA + vecB| ...

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  13. Sum of magitude of two fores is 25 N. The resultant of these forces is...

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  14. Consider a particle on which constant forces vec(F) = hat(i) + 2hat(j)...

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  15. A particle moves from a point (-2hat(i) + 5hat(j)) " to" " " (4hat(j) ...

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  16. A force vec((F)) = - K(yhat(i) + x hat(j)) (where K is a positive cons...

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  17. The vector sum of two forces is perpendicular to their vector differen...

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  18. If vec(A)andvec(B) are two vectors then (vec(A)+vec(B))xx(vec(A)-vec(B...

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  19. The angle between the vector vec(A) and vec(B) is theta. Find the valu...

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  20. If the position vector of a body performing rectilinear motion is give...

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