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 = x - y, within (at least) the range -2 ≤x≤2, -2 ≤y ≤2 dz

The position of a honeybee flying up and down a straight flowerbed is given by (the euqation ) where t is measured in seconds and s is measured in meters. Positive values of s indicate that the bee is to the right of the center of the flowerbed, while negative values of s indicate that it is to the left of the center. (a) Use the graph to guess the time(s) at which the velocity of the bee is 0, and then use calculus to confirm the answer (b) How fast and in what direction is the bee flying at t = 3.5 seconds?  (c) Find the velocity of the bee at all times when its acceleration is zero.

Which points on the graph of y = 4 − x2 are closest to the point (0, 2)?

does this equation define a linear function y=3/4x when x≠0