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Prove that the maximum horizontal range ...

Prove that the maximum horizontal range is four times the maximum height attained by the projectile, when fired at an inclination so as to have maximum horizontal range.

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SL ARORA-PROJECTILE MOTION-Problem For Self Practice
  1. Prove that the maximum horizontal range is four times the maximum heig...

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  2. A cyclist moves along a circular path of radius 70 m. If he completes ...

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  3. A body is moving with a uniform velocity of 10 ms^(-1) on a circular p...

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  4. A plane is flying horizontal at a height of 1000m with a velocity of 1...

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  5. From the top of a building 19.6 m high, a ball is projected horizontal...

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  6. A body is thrown horizontal from the top of a tower and strikes the gr...

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  7. Two tall buildings are situated 200 m apart. With what speed must a ba...

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  8. A stone is dropped from the window of a bus moving at 60 kmh^(-1). If ...

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  9. An aeroplane is flying in a horizontal direction with a velocity 600 k...

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  10. A mailbag is to be dropped into a post office from an aeroplane flying...

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  11. In between two hills of heights 100 m and 92 m respectively. There is ...

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  12. A ball is projected horizontally from a tower with a velocity of 4 ms^...

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  13. A shell is fired at an angle of 30^(@) to the horizontal with a veloci...

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  14. A football player kicks a ball at an angle of 37^(@) to the horizontal...

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  15. A body is projected with a velocity of 20 ms^(-1) in a direction makin...

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  16. The maximum vertical height of a projectile is 10 m. If the magnitude ...

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  17. A bullet fired from a gun with a velocity of 140 ms^(-1) strikes the g...

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  18. A bullet is fired at an angle of 15^(@) with the horizontal and hits t...

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  19. A cricketer can throw a ball to maximum horizontal distance of 160 m....

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  20. Find the minimum velocity for which the horizontal range of a projecti...

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  21. A bullet fired from a rifle attains a maximum height of 5 m and crosse...

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