A particle moves along a straight line with position given by

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle moves along a straight line with position given by x(t)=t2−2tx(t) = t^2 - 2t, where xx is in kilometres and tt in hours. First, determine the velocity of the particle as a function of time. Next, find the time at which the particle reverses its direction of motion. Finally, find the instantaneous velocity of the particle at the moment when the total distance travelled (not displacement) becomes 17 km.

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