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The trajectory of a particle moving on a straight line is x(t) = A cos ωt...

The trajectory of a particle moving on a straight line is x(t) = A cos ωt + B sin ωt. a) What are the units for the fixed numbers A, B and ω (the greek letter omega), assuming that x is measured in meters and t in seconds? b) There is a shortest non-zero time T such that x(t + T) = x(t); what is it? c) What is the velocity of the particle? d) What are the initial position x(0) and velocity vx(0) of the particle? e) The total force acting on the particle at time t, F total(t), equals max(t). Write the total force in terms of x(t) and the angular frequency ω.

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