A football player kicks a ball at ball at an angle of `30 ^(0)` with the horizontal with an initial speed of `20 m//s`. Assuming that the ball travels in a vertical plance, calculate (a) the time at which the ball reaches the highest point (b) maximum height reached (c ) the horizrontal range of the ball (d) the time for wich the ball is in air. `g =10 m//s^(2)`.

Explanation

(a) Time taken by the ball to reach the highest point `t=(T)/(2)=(u sin theta)/(g)=(20)/(10)xxsin 30^(@)=2xx(1)/(2)=1s`
(b) The maximum height `=(u^(2)sin^(2)theta)/(g)=((20)^(2)xxsin2xx30^(@))/(10)=36.64m`
(d) The time of glight `=(2 u sin theta)/(g)=(2xx20xxsinxx30^(@))/(10)=2s`