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Two balls are projected from the same po...

Two balls are projected from the same point in the direction inclined at `60^(@)` and `30^(@)` to the horizontal. If they attain the same height , what is the ratio of their velocities ? What is the ratio of their initial velocities if they have same horizontal range ?

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To solve the problem, we will break it down into two parts: 1. Finding the ratio of their velocities when both balls attain the same height. 2. Finding the ratio of their initial velocities when both balls have the same horizontal range. ### Part 1: Ratio of Velocities for Same Height 1. **Identify the heights attained by both balls:** ...
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AAKASH SERIES-MOTION IN A PLANE-NUMERICAL EXERCISE (LEVEL -1)
  1. A body is projected at 60^(@) with the horizontal with the velocity of...

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  2. A particle is projected from a horizontal floor with speed 10(m)/(s) a...

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  3. An object is projected vertically up from the earth’s surface with vel...

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  4. A rod AB of length 2L and mass m is lying on a horizontal frictionless...

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  5. Two tall buildings are 40 m apart. With what speed must a ball be thro...

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  6. From the top of a cliff of height 19.6m a ball is projected horizonta...

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  7. A cricket player throws the ball to have the maximum horizontal rang...

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  8. A ball is projected horizontally from the top of a building 19.6 m hig...

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  9. The range of a projectile fired at an angle of 15^@ is 50 m. If it is ...

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  10. A stone is projected at angle of tan^(-1)(3//4) to the horizontal wi...

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  11. The equation of motion of a body are given such that horizontal dis...

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  12. A shell is fired from a long - range gun with an intial velocity ...

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  13. Two bodies are thrown with the same initial speed at angle a and (90^(...

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  14. Two balls are projected from the same point in the direction inclined...

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  15. A stone is thrown horizontally with velocity g ms^(-1) from the top o...

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  16. A body is thrown with the velocity u = 12.0 ms^(-1) at an angle of ...

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  17. A ball is thrown with the velocity u at an angle of alpha to the hor...

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  18. A ball is throw from the top of a tower of 61 m high with a velocit...

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  19. A tennis ball rolls off the top of a stair case way with a horizontal ...

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  20. If any point of a parabolic path of a projectile the velocity be u ...

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