I have the question ``A football is kicked at a speed of 20 $m/s$ at and angle of 45 degrees. (Assume negligible air resistance). Calculate the time taken for the ball to reach its maximum height''
I know from the previous question that the vertical and horizontal components of the initial velocity is 14.14 $m/s$.
I also know that the velocity is 0 at the maximum height and the acceleration is -9.81 as we are going against gravity.
I rearranged the equation of $v = v_0 + at$ to find the value of $t$ which is 2.88 seconds and then halved this to get t = 1.44 $s$.
Is this correct ? If not can be explain where I went wrong ?