A gun is used to shoot a target located at a distance of 100.0m.The gun is pointed horizontally at a height of 1.3 m above theground. At the impact with the target, 78% of the kinetic energy ofthe bullet is absorbed by the target, and all vertical velocity islost. The bullet rebounds hitting the shooter in the knee (between50.0 and 50.2 cm above the ground). Calculate the initial velocityof the bullet with a 0.1 m/s precision. Neglect air resistance. Themass of the bullet is 4.2 g.
Please when solving write out the equations before usingthem.