In a T20 international cricket match, the team batting first needs a six to cross the 200-run mark. An explosive batsman faces an equally aggressive fast bowler. The bowler bowls the ball. The batsman hits the ball with the speed equal to a root of the equation:
\[0.142x^4 - 10x^3 + 217.857x^2 - 1500x\]
If the stand in where the ball landed has benches of width 1 meter and height 1 meter, starting from 110 meters from the crease, find out on which bench would it land. If you are sitting on the 5th bench, will a potato grow on your head?
If yes then add 1 to your answer and if no then add 2 to your answer.
Details and Assumptions:
Air drag is negligible.
Angle of projection is 0.925 radian.
Height at which the ball was hit is 1 meter.