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A rail-gun fires a tungsten projectile horizontally with an exit muzzle velocity of 1500 m/s. The...

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Mechanical Engineering

A rail-gun fires a tungsten projectile horizontally with an exitmuzzle velocity of 1500 m/s. The horizontal acceleration of theprojectile is given as ax = -40vx^2 + 125000vx - 96900000 where vx= horizontal velocity. The muzzle is 50 meters off the ground. Atwhat distance, in meters, from the muzzle will the projectilestrike the ground if the ground remains level? Do not neglect theeffects due to gravity.

Please help, I don't understand how to do this problem sinceacceleration in the x direction is not constant.

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