Range of Projectile

An object of mass 1 1 kg is thrown into the air at an angle of 6 0 60^{\circ} above the horizontal direction, and with a speed of 20 20 m / s. Its position at any time is described by the point P ( x , y ) P(x, y) . For 15 x 25 15 \le x \le 25 , the object is subject to an upward force of 10 10 N, thus cancelling the effect of gravity, and making the net force on the object zero, (it is assumed that g = 10 m / s 2 g = 10 m / s^2 ). Find the range of this projectile, that is, the maximum value of x x in its trajectory until it hits the ground. If the range is R R then enter 100 R \lfloor 100 R \rfloor as your answer. Note: Ignore air resistance.

Inspiration


The answer is 4593.

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