question archive a) A 4 kg cannonball is shot into the air with an initial upward velocity of +100 m/s
a) A 4 kg cannonball is shot into the air with an initial upward velocity of +100 m/s
Subject:MathPrice: Bought3
a) A 4 kg cannonball is shot into the air with an initial upward velocity of +100 m/s. Assume the ball experiences air resistance proportional to its velocity, given by a drag coefficient of b = 0.5 kg/s. At what time does it strike the ground? ie, find x(t) = height of the ball at time t, and solve x(t) = 0. You may need a graphing calculator to determine the intersection point.
b) Draw a slope field for the equation d y d x = x − y, within (at least) the range − 2 ≤ x ≤ 2, − 2 ≤ y ≤ 2
