Facing some horrible mathematical situation while solving to find equation of trajectory of projectile when drag is proportional to v^2.(adsbygoogle = window.adsbygoogle || []).push({});

my equations where i end up with are as follow:

equation 1:

mdv/dt=(-kv^2)+(-mgsinγ);

equation 2:

(-mv)dγ/dt=mgcosγ;

equation 3:

dx/dt=vcosγ;

equation 4:

dy/dt=vsiny;

where:

v is velocity of particle at instance when it makes an angle γ with horizontal plane.

Initial condition is known and assume it to be u at an angle α.

please assist me in solving this.

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# Trajectory of projectile with considerable drag

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