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projectile motion help needed!!!!!!
If v1, v2, v3 are the velocities at three points A, B , C of the path of a projectile, where the inclinations to the horizon are α, α-β, α-2β and if t1, t2 are the times of describing the arcs AB and BC respectively, prove that
v3*t1 = v1*t2 and 1/ v1 + 1/v3 = (2*cos β)/v2
v1cos α = v2cos (α-β)= v3cos (α-2β) - (horizontal component same always)
and
v2sin(α-β) = v1sin α – g*t1 (&) v3sin (α-2β) = v2sin(α-β) – g*t2
and now I am stuck .. are there any more equations that I am missing or is it a bad case of trigonometric manipulation.. I tried trigonometric manipulation .. but ended up getting weirder equations
Homework Statement
If v1, v2, v3 are the velocities at three points A, B , C of the path of a projectile, where the inclinations to the horizon are α, α-β, α-2β and if t1, t2 are the times of describing the arcs AB and BC respectively, prove that
v3*t1 = v1*t2 and 1/ v1 + 1/v3 = (2*cos β)/v2
Homework Equations
The Attempt at a Solution
v1cos α = v2cos (α-β)= v3cos (α-2β) - (horizontal component same always)
and
v2sin(α-β) = v1sin α – g*t1 (&) v3sin (α-2β) = v2sin(α-β) – g*t2
and now I am stuck .. are there any more equations that I am missing or is it a bad case of trigonometric manipulation.. I tried trigonometric manipulation .. but ended up getting weirder equations