For this exercise, use the position function s(t) = 4.9['2 + 160, which gives the height (in meters) of an object that has fallen for t seconds from a height of 160 meters. The velocity at time t = a seconds is given by lim 5(a) ' 5\"). t>a a t When will the object hit the ground? At what velocity, v, will the object impact the ground? Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist, enter DNE.) t3 + 1, f 4 Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) f(x) = v x + cos(x)