A shot putter with a mass of $80 \mathrm{kg}$ pushes the iron ball of mass of $6 \mathrm{kg}$ from a standing position accelerating it uniformly form rest at an angle of $45°$ with the horizontal during a time interval of $0.1$ seconds. The ball leaves his hand when it is $2 \mathrm{m}$ high above the level ground and hits the ground $2 \mathrm{seconds}$ later. $\left(g=10 \mathrm{m}/{\mathrm{s}}^2\right)$