Cricket
History
The main "Cricket" that was formed, was back 13th Century. The game originated
among children in farming and metalworking communities in the Weald between
Sussex and Kent.
Links between maths and cricket
mathematicians are farmilar with the cricket sport, and it is full of numbers and statistics. for instance if the people hear the number 501, the thing that runs through the mind is the levi jeans, meanwhile when the cricket funs hear the very same numbeer they remember Brain Lora. The very highest scale which was ever made in cricket in 1994, was 501 runs which was scored by Lora
During a cricket game, the two important points during the flight of the ball.The first point is when the bowler release the till the ball is hit or missed by the batsman. The second point is after the ball collides with the bat. The goal of the batsman is to score as many runs as he could based on his ability, while other bowlers task is to pitch the ball, so that batsman is not capable of hitting the ball to his capability. We can calculate the flight patch of the ball using a simple equation.
M(dv/dt)=kv^2
M represents the mass of the ball, (dv/dt) represents the derivative based on the time, and also repressenting accerelation and K represent the side force constant.This equation is true when the vertical motions cancell one another or if they are stricktly ignored. When the time equation is changed to be a derivative of velocity instead of distance rather than, the equation will be:
V(m/k)=-(k/m)v^2
The variebles stay the same, when x is the distance down that the ball will be when calculated. the equation can then give the following equation when solved:
x=(n/k) ln (vdv)
ln represents the naturall logarithm, and v0 is the initial velocity and all other variables stay uniform. this clearly states the relationship between the distance and velocity after the bowler hits the ball, to find the time of the flight of the ball, we rearange the equation to give the following equation:
t = (m/k){(l/v) - (l/vo)}
From this we can see how long the ball is in the air for a curtain velocity. When each of the equations is solved is in the known variables, from this deviation can be seen. The small shifting to the side of the ball can make the eye miss the ball.
