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At what angle with the horizontal should a ball be thrown so that the range R is related to the time of flight as R=5T2Take g=10 m s-2

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Important Questions on Kinematics

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If the range of a gun which fires a shell with muzzle speed v, is R1 then the angle of elevation of the gun is
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The maximum range of a projectile fired with some initial velocity is found to be 1000 metre.  The maximum height (H) reached by this projectile is 

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The angle which the velocity vector of a projectile, thrown with a velocity v at an angle θ to the horizontal, will make with the horizontal, after time t of it being thrown up, is
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The vertical height of the projectile at time t is given by y=4t-t2 and the horizontal distance covered is given by x=3t. What is the angle of projection with the horizontal?
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A bomb is fired from a cannon with a velocity of 1000 m/s making an angle of 30° with the horizontal:
What is the time taken by the bomb to reach the highest point- 
HARD
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For a projectile the ratio of maximum height reached to the square of flight time is g=10 m s-2
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If a projectile is thrown such that range R is four times the height h attained then the angle of projection is-
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The range of projectile is 50 m when θ is inclined with horizontal at 15°. What is the range when θ becomes 45°-