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a body is projected wid velocity u and at an angle x wid d horizontal.the body makes an angle of 30 degree at t = 2 sec and den after 1 sec it reaches maximum hieght.find u and x?

a body is projected wid velocity u and at an angle x wid d horizontal.the body makes an angle of 30 degree at t = 2 sec and den after 1 sec it reaches maximum hieght.find u and x?

Grade:12

1 Answers

mohit sengar
39 Points
13 years ago

half time taken =usinx/g = 3sec

therefore   u sinx = 3g

  after 2 sec  let its velocity be v , then 

 v sin30 = u sinx -2g

v/2 =3g-2g = g   or  v= 2g    by putting the value of  u sinx 

now as horizontal velocity remain constant, therefore  u cosx = vcos30

                                                                          u cosx = v√3/2

                                                                          u cosx =√3 g    by putting the value of v

 now dividing usinx by   u cosx   we get    tanx =√3   or x =  60 degree

then u = 3g / sinx =  20√3

 

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