Projectile on an inclined plane: maximising the range

Starting from the equation of the trajectory of a projectile without drag, we derive an expression for the distance it travels up an inclined plane, then find the launch angle that maximises this range.

About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics & Maths up to A Level standard.

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