A football is punted from the ground, it passes through the apex of its flight, and it begins its downward decent, as shown. When its height above the field is h=1.4m, the horizontal and vertical components of its velocity are observed to have the values vhorizontal=15.5m/s and vvertical=3.25m/s, respectively. Use a Cartesian coordinate system with the origin located at the initial position of the football. Ignore air resistance. Part (a) Determine the magnitude of the horizontal component of the football’s initial velocity v0,x, in terms of vhorizontal, vvertical, g, and h. Part (b) Calculate the time, in seconds, from when the football left the ground until it is
A football is punted from the ground, it passes through the apex of its flight, and it begins its downward decent, as shown. When its height above the field is h=1.4m, the horizontal and vertical components of its velocity are observed to have the values vhorizontal=15.5m/s and vvertical=3.25m/s, respectively. Use a Cartesian coordinate system with the origin located at the initial position of the football. Ignore air resistance.
Part (a) Determine the magnitude of the horizontal component of the football’s initial velocity v0,x, in terms of vhorizontal, vvertical, g, and h.
Part (b) Calculate the time, in seconds, from when the football left the ground until it is descending at a height of h=1.4m.
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