A man cannonball is a person who is thrown like a cannonball from a barrel specially made for this purpose. That cannon, instead of gunpowder, uses a spring or compressed air to provide the necessary thrust to the man (the smoke and explosion is just part of the show). The world record for the farthest throw by a man cannonball is held by David “Bala” Smith, whom we see in the image, who, on May 18, 1998 in Pennsylvania, flew to a distance of 56.54 meters from the launch point. The barrel was initially placed at an angle of 45° and the muzzle where the "Bullet" Smith was ejected was at 4 meters above the ground, it is estimated that David traveled at a speed of 112 km / h in that launch. The path of the bullet man (ignoring air resistance) is shaped like a parabola with equation ax2 + x + c, determine the constants a and c of the equation for this jump record and indicate the maximum height that David “Bala” Smith reached when achieving his record worl

A man cannonball is a person who is thrown like a cannonball from a barrel specially made for this purpose. That cannon, instead of gunpowder, uses a spring or compressed air to provide the necessary thrust to the man (the smoke and explosion is just part of the show). The world record for the farthest throw by a man cannonball is held by David “Bala” Smith, whom we see in the image, who, on May 18, 1998 in Pennsylvania, flew to a distance of 56.54 meters from the launch point. The barrel was initially placed at an angle of 45° and the muzzle where the "Bullet" Smith was ejected was at 4 meters above the ground, it is estimated that David traveled at a speed of 112 km / h in that launch. The path of the bullet man (ignoring air resistance) is shaped like a parabola with equation ax2 + x + c, determine the constants a and c of the equation for this jump record and indicate the maximum height that David “Bala” Smith reached when achieving his record worl