Math Problem Statement
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=2.8m
, the horizontal and vertical components of its velocity are observed to have the values vhorizontal=17.5m/s
and vvertical=2.75m/s
, respectively. Use a Cartesian coordinate system with the origin located at the initial position of the football. Ignore air resistance.
Part (b)
Calculate the time, in seconds, from when the football left the ground until it is descending at a height of h=2.8m
Solution
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Math Problem Analysis
Mathematical Concepts
Kinematics
Projectile Motion
Formulas
v_y = v_{y0} - g * t
s = v_{y0} * t - 0.5 * g * t^2
Theorems
Kinematic Equations of Motion
Suitable Grade Level
Grades 11-12
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