Maximising the arc length of a trajectory
Deriving an expression for the arc length of the trajectory of a projectile experiencing no drag. We then find the launch angle that maximises this length and try to build some physical intuition for the result. Integral used in this video: • Integrating the square root of a² + x² 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. Support the channel: https://ko-fi.com/benyelverton My website: https://benyelverton.com/ #physics #projectiles #trajectory #arclength #integration #mechanics #suvat #kinematics #range #speed #gravity #parabola #quadratic #calculus #differentiation #trigonometry #radians #mathematics #maths #math #science #alevelmaths #education
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