A projectile is thrown with some initial velocity at an angle αto the horizontal. Its velocity when it is at the highest point is $$(2/5)1/2$$ times the velocity when it is at height half of the maximum height. Find the angle of projection a with the horizontal.

Question

A projectile is thrown with some initial velocity at an angle αto the horizontal. Its velocity when it is at the highest point is $$(2/5)1/2$$ times the velocity when it is at height half of the maximum height. Find the angle of projection a with the horizontal.

Infinity Learn · Accepted Answer

(ucos$$α$$)=25(ucos$$α$$)2+(usin$$α$$)2-2gh$$            ….$$(i)Here$$,  $$h=H2=u2sin2$$α$$4g$$                                                 $$(ii)Solving$$ Eqs. $$(i) and (ii), we getα$$=600$$.

A projectile is thrown with some initial velocity at an angle $α$ to the horizontal. Its velocity when it is at the highest point is (2/5)^1/2 times the velocity when it is at height half of the maximum height. Find the angle of projection a with the horizontal.

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A projectile is thrown with some initial velocity at an angle αto the horizontal. Its velocity when it is at the highest point is (2/5)1/2 times the velocity when it is at height half of the maximum height. Find the angle of projection a with the horizontal.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A projectile is thrown with some initial velocity at an angle $α$ to the horizontal. Its velocity when it is at the highest point is (2/5)^1/2 times the velocity when it is at height half of the maximum height. Find the angle of projection a with the horizontal.