* L
Fig. la
A projectile is launched with velocity u at an angle a to the horizontal. After time t the particle
reaches point P(x, y) and has velocity v. Let ß be the inclination of the line segment OP to the
horizontal and O be the direction of motion of the particle at P (Fig. 1a).
Write down the expressions for the acceleration, velocity and position of the particle at
any instant of time.
i. Show that tan pheta = tan a -
gt/u cos a
(ii)
Prove that tan beta =0.5 (tan a + tan pheta).