Assume the resistive force acting on a speed skater is proportional to the square of the skater's speed v and is given by f=-k m v^2, where k is a constant and m is the skater's mass. The skater crosses the finish line of a straight-line race with speed vi and then slows down by coasting on his skates. Show that the skater's speed at any time t after crossing the finish line is v(t)=vi /(1 k t vi) . | Numerade
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It is determined that for this surface, the force of friction is proportional to the speed of the block according to the equation f = -kv, where k is a positive constant. (e) On the axes below, sketch the speed v and the acceleration a as functions of time as the block slides down the incline.
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