b) and (b
A particle projected at a definite angle alpha to the horizontal passes through points (a,b) and (b,a), referred to horizontal and vertical axes through the points of projection. Show that : (a) The horizontal range R = (a^2 + ab + b^2)/(a + b) . (b) The angle of projection prop is given by tan^-1 [(a^2 + ab + b^2)/(ab)].
28
Aug
A particle projected at a definite angle alpha to the horizontal passes through points (a,b) and (b,a), referred to horizontal and vertical axes through the points of projection. Show that : (a) The horizontal range R = (a^2 + ab + b^2)/(a + b) . (b) The angle of projection prop is given by tan^-1 [...]
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A particle is projected over a triangle from one extremity of its horizontal base. Grazing over the vertex ,
A particle projected at a definite angle prop to the horizontal passes through points (a ,
A) ,
b) and (b ,
it falls on the other extremity of the base. If a and b are the base angles of the triangle and θ the angle of projection ,
prove that tanθ=tanα+tanβ ,