In: Mechanical Engineering
A rail-gun fires a tungsten projectile horizontally with an exit muzzle velocity of 1500 m/s. The horizontal acceleration of the projectile is given as ax = -40vx^2 + 125000vx - 96900000 where vx = horizontal velocity. The muzzle is 50 meters off the ground. At what distance, in meters, from the muzzle will the projectile strike the ground if the ground remains level? Do not neglect the effects due to gravity.
Please help, I don't understand how to do this problem since acceleration in the x direction is not constant.