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A heavy particle is projected vertically.If t1 and t2 are the times at which it passes a point at a height h above the point of projection in ascending and descending,then t1t2=

A heavy particle is projected vertically.If t1 and t2 are the times at which it passes a point at a height h above the point of projection in ascending and descending,then t1t2=

Grade:11

1 Answers

Chetan Mandayam Nayakar
312 Points
11 years ago

 

Dear Chakrala, 

let v be the speed of projection. let t be the time. h=vt-(1/2)gt2,this leads to gt2-2vt+2h=0,t1t2 =product of roots of quadratic equation=2h/g

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