# Equation of trajectory?

A projectile is thrown with a velocity of $$20\text{m/s}$$ making an angle of $${45}^{\circ}$$ with the horizontal surface. Then find the equation in $$x$$ and $$y$$ of the trajectory of the projectile.

The equation is of the form $$ax^2 - bx + by = 0$$ where $$a$$ and $$b$$ are positive co-prime integers, then submit the value of $$a + b$$.

Details and assumptions:-

• Take $$g$$(acceleration due to gravity) as $$10{\text{m/s}}^2$$.
• Neglect any air resistance.
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