A firefighter who weighs 124 lb slides down an infinitely long fire pole that exerts a frictional resistive force with magnitude proportional to her speed, with k-2.9 lb-s/ft. Assuming that she starts from rest, find her velocity as a function of time and find her terminal velocity. Don't forget to use the gravitational constant that comes from pounds. v(t) Terminal Velocity -

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A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s from the roof of a building 40 m high. Assume there is a force due to v² directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.

A block with a mass of 2.0 kg is released from rest and slides down a long, smooth ramp. The incline of the ramp is 41.0 degrees, and the coefficient of kinetic friction is  ?=0.259 How far will the block travel in 1.001.00 s, assuming it does not reach the end of the ramp?