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A particle moves along the positive bran...

A particle moves along the positive branch of the curve `y = (x^(2))/(2)` where `x = (t^(2))/(2),x` and y are measured in metres and t in second. At `t = 2s`, the velocity of the particle is

A

`2hati-4hatj`

B

`4hati-2hatj`

C

`4hati+2hatj`

D

`2hati+4hatj`

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The correct Answer is:
D
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MOTION-KINEMATICS-EXERCISE 1 OBJECTIVE PROBLEMS
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  2. Starting from rest a particle moves in a straight line with accelerati...

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  3. A particle moves along the positive branch of the curve y = (x^(2))/(2...

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  4. The motion of a body falling from rest in a resting medium is describe...

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  5. A street car moves rectilinearly from station A to the next station B ...

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  6. The speed of a body moving on a straight track varies according to v =...

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  7. A particle moving along x-axis has acceleration f, at time t, given by...

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  8. The horizontal and vertical distances travelled by a particle in time ...

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  9. A body is thrown with a velocity of 9.8 m//s making an angle of 30^(@)...

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  10. A projectile thrown with a speed v at an angle theta has a range R on...

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  11. In a projectile motion the velocity

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  12. Two projectiles A and B are projected with an angle of projection 15^(...

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  13. A ball is thrown upwards and returns to the ground describing a parabo...

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  14. The angle of projection of a body is 15^(@).. The other angle for whic...

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  15. A stone is thrown at an angle of 45^(@) to the horizontal with kinetic...

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  16. The maximum range of a projectile is 22 m. When it is thrown at an ang...

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  17. The equation of projectile is y = 16 x - (5 x^2)/(4). Find the horizon...

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  18. If four balls A,B,C,D are projected with same speed at angles of 15^(@...

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  19. The velocity at the maximum height of a projectile is half of its velo...

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  20. A ball P is dropped vertically and another ball Q is thrown horizont...

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