Your 160 lbm friend agrees to have his standing jump analyzed. Standing on a force plate, he crouches to lower his center of gravity, then executes a jump. The force plate measurement gives a reading that can be described by the equation: F(t) = 480 sin (pi t/tau) + 160 (1 - t/tau) Where F(t) is in lbf, Here the push off duration tau = 180 ms. How high will the jumper's center of gravity reach?

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

In the circuit shown below, with each bulb holding a resistance of 60 ohms, how many amps of current are flowing? express your number as a decimal.

In the first law of thermodynamics, triangle e=q-w, what does q stand for