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The speed at the maximum height of a pro...

The speed at the maximum height of a projectile is `sqrt(3)/(2)` times of its initial speed 'u' of projection Its range on the horizontal plane:-

A

`sqrt(3)(u^(2))/(2g)`

B

`(u^(2))/(2g)`

C

`(3u^(2))/(2g)`

D

`(3u^(2))/(g)`

Text Solution

Verified by Experts

The correct Answer is:
A
`u cos theta=sqrt(3)/(2)u rArr theta=30^(@)`
`rArr R=(u^(2) sin 2 xx30^(@))/(g)=(u^(2)sin 60^(@))/(g)=sqrt(3)(u^(2))/(2g)`
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ALLEN -MOTION IN A PALNE-EXERCISE-2
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  2. A particle is projected with a velocity u making an angle theta with t...

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  3. The speed at the maximum height of a projectile is sqrt(3)/(2) times o...

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  4. What is the ratio of P.E. w.r.t. ground and K.E. at the top most point...

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  5. A ball is thrown at an angle theta with the horizontal and the range i...

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  6. A student is able to throw a ball vertically to maximum height of 40m....

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  7. Three projectile A, B and C are thrwon from the same point in the same...

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  8. A projectile is thrown with an initial velocity of (a hati +b hatj) ms...

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  9. The equation of a projectile is y=sqrt(3)x-(gx^(2))/(2) the angle of...

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  10. The equation of projectile is y=16x-(x^(2))/(4) the horizontal range i...

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  11. If a projectile is fired at an angle theta with the vertical with velo...

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  12. If R is the maximum horizontal range of a particle, then the greatest ...

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  13. Two stones are projected with the same speed but making different angl...

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  14. A projectile is thrown from a point in a horizontal plane such that th...

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  15. A particle is projected with a velocity v so that its range on a horiz...

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  16. A projectile is thrwon into space so as to have the maximum possible h...

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  17. A particle is fired with velocity u making angle theta with the horizo...

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  18. A missile is fired for maximum range with an initial velocity of 40m//...

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  19. An arrow is shot into air. Its range is 200m and its time of flight is...

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  20. In the Q.23, the maximum height attained by the arrow is:-

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