^Oblique projectile from ground
Suppose a body is projected from the ground from point O at an angel q with the horizontal and with the velocity u. Let at time t the projectile is at point P where its velocity is v directed at angle b to the horizontal.
1 Using trigonometry x & y components of initial velocity are ux = u cosθ & uy = u sinθ
2. Using vector addition law the position vector of point P w.r.t. origin is
3. Using s – t relation for the motion O to P along x & y axis we can write
(a) x – t relation: x = u x t
(b) y – t relation: y =
Eliminating t from above two relations we get y – x relation: