A football player launches a ball of mass m from the origin (0,0) with an initial speed v, with at an angle a above the horizontal. The ball lands on the ground at (d,0). Neglecting the drag, a) find out the expression of v, in terms of a and d. b) if d=45m, and a 45°, find out the total time of flight. c) Now consider drag force, F=-bv with b-constant, find a formula of the horizontal distance travelled by the ball x₁, with respect to origin when the ball reaches the maximum height yh. Express the answer as a function of a,g,vo,b and m. (F and v are drage force and velocity vectors respectively)

A football player launches a ball of mass m from the origin (0,0) with an initial speed v, with at an angle a above the horizontal. The ball lands on the ground at (d,0). Neglecting the drag, a) find out the expression of v, in terms of a and d. b) if d=45m, and a 45°, find out the total time of flight. c) Now consider drag force, F=-bv with b-constant, find a formula of the horizontal distance travelled by the ball x₁, with respect to origin when the ball reaches the maximum height yh. Express the answer as a function of a,g,vo,b and m. (F and v are drage force and velocity vectors respectively)