Can you solve an Oxford PAT Physics Question?

Published: 27 October 2024
on channel: ZPhysics

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Here is a fantastic physics question from the Oxford PAT 2022 . While this is not a multiple choice, it is great practice for deep understanding of projectile motion, mechanics and motion. Please check out the original paper here, credit to Oxford University:
https://www.physics.ox.ac.uk/system/f... (Q15)
Please note that official solutions to the PAT do not exist and my solution may be wrong or they may be a much more efficient way of solving the problems.

This question can also be used as practice for physics olympiads, A-Level Physics (extension question), AP Physics, IB Physics and others.

Chapters:
00:00 Setting up the problem and diagram
00:53 Maximum Range of Projectile at 45 degrees
01:00 Why those sketches of trajectories
02:26 Trajectories
03:21 Tricky - Sketching the absolute distance
06:02 Special case - angle is 85 degrees
06:50 Wolfram Alpha Plot Check
07:00 Finding the absolute distance, r(t)
10:00 Finding stationary points - Tricky!
12:37 Quadratic formula for the win!
12:56 Spotting a mistake in my working
13:06 Quadratic formula for the win take 2
14:44 Cool final result

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