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The rate of change of velocity of a body per unit of time.

5 votes
2 answers
328 views

How long does it take to optimally change position and velocity?

It also has a maximum acceleration $a_{max}$. Its goal is to be at position $(x', y')$ with a velocity of $(v'_x, y'_x)$. What path takes the smallest amount of time? … I have a hunch that the optimal path will always be constant acceleration in one direction, possibly with a reversal somewhere along the way. …
Matthew Piziak's user avatar
1 vote
1 answer
76 views

Given a current velocity and a fixed input energy, how much faster will a relativistic parti...

where } \gamma_0 = \frac{1}{\sqrt{1 - \frac{v_0^2}{c^2}}}$$ I would like to know how quickly the particle will be moving ($v_1$) after energy $E_i$ is added to the system in the direction of positive acceleration
Matthew Piziak's user avatar