Miltiadis Tentoglou is the current Olympic gold medalist for the running long jump. In one of Miltiadis’ practices, he insanely attempts to jump five people who are laid out on the ground in single file from head to toe. Each of the five individuals are 1.7 meters in height and when Miltiadis launches off the ground his initial resultant velocity is directed 20 degrees above the horizon and the horizontal component of this resultant velocity is 10 m/s. In executing the jump, Miltiadis’ center of mass drops 0.6 meters vertically from the instant of takeoff to the instant of landing. Calculate Miltiadis’ a) initial and final vertical velocities in m/s, b) initial and final resultant velocity magnitudes in m/s, c) total time in the air in seconds and d) how far he was able to jump horizontally in meters. e) How many centimeters of clearance did Miltiadis have on both sides of the jump when jumping the five individuals (assume the clearance distance is the same on both sides of the jump (take off and landing))?
Miltiadis Tentoglou is the current Olympic gold medalist for the running long jump. In one of Miltiadis’ practices, he insanely attempts to jump five people who are laid out on the ground in single file from head to toe. Each of the five individuals are 1.7 meters in height and when Miltiadis launches off the ground his initial resultant velocity is directed 20 degrees above the horizon and the horizontal component of this resultant velocity is 10 m/s. In executing the jump, Miltiadis’ center of mass drops 0.6 meters vertically from the instant of takeoff to the instant of landing. Calculate Miltiadis’ a) initial and final vertical velocities in m/s, b) initial and final resultant velocity magnitudes in m/s, c) total time in the air in seconds and d) how far he was able to jump horizontally in meters. e) How many centimeters of clearance did Miltiadis have on both sides of the jump when jumping the five individuals (assume the clearance distance is the same on both sides of the jump (take off and landing))?
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