^Oblique projectile from ground

^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

Describing position

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 t

(b) y – t relation: y =

Eliminating t from above two relations we get y – x relation:

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