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The equation of motion of a body are gi...

The equation of motion of a body are given such that horizontal displacement x = 3t meter and vertical displacement , `y = 4t- 5t^(2)` meter , where "t" is in seconds. Find the angle of projection , velcoity of projection and horizontal range?

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To solve the problem, we will follow these steps: ### Step 1: Identify the equations of motion We are given the horizontal and vertical displacement equations: - Horizontal displacement: \( x = 3t \) meters - Vertical displacement: \( y = 4t - 5t^2 \) meters ### Step 2: Compare with standard equations ...
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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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