A body is projected at an angle α with horizontal. It crosses a horizontal line above the point of projection during its upward journey making an angle of θ$$=45o$$ with horizontal. If velocity of projection is $$20$$ $$m/s$$, and α$$=60o$$, find the height of the line above the point of projection.

Question

A body is projected at an angle α with horizontal. It crosses a horizontal line above the point of projection during its upward journey making an angle of  θ$$=45o$$ with horizontal. If velocity of projection is $$20$$ $$m/s$$, and α$$=60o$$,  find the height of the line above the point of projection.

Infinity Learn · Accepted Answer

$$Vcos450$$ $$=$$  $$20$$ $$cos600$$  ⇒   $$V=102$$  $$m/s$$.∴     $$Vsin4502$$ $$=$$ usinα$$2$$−$$2gh$$. $$2gh=u2sin2$$α−$$V2sin245$$         $$=400$$×$$34$$−$$200$$×$$12$$∴$$h=10$$ m

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A body is projected at an angle α with horizontal. It crosses a horizontal line above the point of projection during its upward journey making an angle of θ=45o with horizontal. If velocity of projection is 20 m/s, and α=60o, find the height of the line above the point of projection.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material