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A projectile projected from the ground lands on the first floor of a near by building.Derive an equationfind the range travelled by the projectile.

A projectile projected from the ground lands on the first floor of a near by building.Derive an equationfind the range travelled by the projectile. 

Grade:

1 Answers

AJIT AskiitiansExpert-IITD
68 Points
10 years ago

Dear jUlie ,

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ASsume the following data : initial velocity = u m/s , angle of projection  = x deg ,  range = r metres , height of floor = h metres

as the projectile lands on the first floor , the vertical component of velocity must be zero at the floor .

h  =  u sin x * t ; t = time of flight

t = h / u sinx

therefore , R = u cosx * t

R = h cosx / sinx =  h cotx  metres.

 

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