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A ball is thrown with velocity 40 m//s a...

A ball is thrown with velocity `40 m//s` at angle `30^(@)` with horizontal from the top of a tower of height `60 m`. At what horizontal distance from the foot of tower, the ball will strike the gorund ?

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`O` to `B`:
`y: - 60 = 40 sin 30^(@) t - (1)/(2)g t^(2)`
`= 20t - 5t^(2)`
`t^(2) - 4t - 12 = 0 rArr t = 6s`
`x = 40 cos 30^(@) t = 40 xx (sqrt(3))/(2) xx 6 = 120sqrt(3) m`
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CP SINGH-MOTION IN A PLANE-Exercises
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  2. Two balls are rolling on a flat surface. One has velocity components ...

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  3. A particle moving with a velocity equal to 0.4 m//s is subjected to an...

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  4. The height y and distance x along the horizontal plane of a projectile...

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  5. In the above problem the direction of the initial velocity with the x-...

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  6. The coordinates of a moving particle at any time t are given by x = al...

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  7. A body starts from rest from the origin with an acceleration of 3 m//s...

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

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  9. At what angle to the horizontal should an object be projected so that ...

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

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  11. The range of a projectile, thrown with an initial speed u at the angle...

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  12. A projectile is projected with a kinetic energy K. If it has the maxim...

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  13. A projectile is projected with the initial velocity (6i + 8j) m//s. Th...

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  14. A projectile is thrown at an angle of 40^(@) with the horizontal and i...

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

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  16. It was calculated that a shell when fired from a gun with a certain ve...

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  17. Galileo writes that for angles of projection of a projectile at angles...

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  18. Choose the correct option (i) The speed of a projectile at its maxim...

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  19. If a body A of mass m is thrown with velocity v at an angle of 30^(@) ...

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  20. A particle is thrown such that its time of flight is 10 s and horizont...

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  21. A ball of mass m is thrown vertically upwards. Another ball of same ma...

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