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A particle moves in the xy plane with a ...

A particle moves in the `xy` plane with a constant acceleration 'g' in the negative-direction. Its equation of motion is `y = ax-bx^(2)`, where `a` and `b` are constants. Which of the following are correct?

A

The x-component of its velocity is constant.

B

At the origin, the y-component of its velocity is a `sqrt((g)/(2b))`

C

At the origin, its velocity makes an angle `tan^(-1)` (a) with the x-axis

D

The particle moves exactly like a projectile.

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MOTION-KINEMATICS-EXERCISE 2 OBJECTIVE PROBLEMS (Level-2)
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  2. The figure shows the velocity (v) of a particle plotted against time (...

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  3. Pick the correct statements:

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  4. If the velocity of the particle is given by v=sqrt(x) and initially pa...

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  5. A particle moves with an initial velocity v(0) and retardation alpha v...

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  6. A projectile of mass 1kg is projected with a velocity of sqrt(20)m//s ...

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  7. Choose the correct alternative (s)

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  8. If T is the total time of flight, h is the maximum height and R is the...

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  9. A particle moves in the xy plane with a constant acceleration 'g' in t...

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  10. A ball is rolled off along the edge of a horizontal table with velocit...

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  11. A particle is projected at an angle theta from ground with speed u (g ...

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  12. A particle is projected vertically upward with velocity u from a point...

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  13. A block is thrown with a velocity of 2m//s^(-1) (relative to ground) o...

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  14. A particle moves with constant speed v along a regular hexagon ABCDEF ...

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  15. A man on a rectilinearly moving cart, facing the direction of motion, ...

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  16. Two swimmers A and B start swimming from different positions on the sa...

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  17. A man who can swim at a speed v relative to the water wants to cross a...

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  18. A projectile is projected with a speed of 40m/s at a angle theta with ...

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  19. Path of three projectiles are shown. If T(1),T(2) and T(3) are time o...

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  20. From an inclined palne two particles P,Q are projected with same speed...

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