main

prev        

Statement of a problem № 25

        next    

A point moves in the plane xy according to the law x = at, y = at (1 - αt), where a and α are positive constants, and t is time. Find: (a) the equation of the point s trajectory y(x); plot this function; (b) the velocity v and the acceleration w of the point as functions of time; (c) the moment t0 at which the velocity vector forms an angle π/4 with the acceleration vector.

Solution:
A point moves in the plane xy according to the law x = at, y = at (1 - αt), whe

New search. (Also 5349 free access solutions)