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Show that for a projectile the angle bet...

Show that for a projectile the angle between the velocity and the x-axis as a function of time is given by
`theta(t)=tan^(-1)((u_y-"gt")/(u_x))`

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Show that the projection angle theta_0 for a projectile launched from the origin is given by theta_0=tan^(-1)((4H)/R) Where the symbols have their usual meaning.

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If theta is the angle between the lines given by the equation 6x^2+5x y-4y^2+7x+13 y-3=0 , then find the equation of the line passing through the point of intersection of these lines and making an angle theta with the positive x-axis.

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