The graph shows the position s =f(t) of a cart hours after 5:00 PM. relative to its starting point s = 0, where s is measured in miles. +5 (a) Describe the velocity of the car. Specifically, when is it speeding up and when is it slowing down? 400 | (h) At approximately what time is the car traveling the fastest? The slowest? 320 l (c) What is the approximate maximum velocity of the car? The approximate minimum velocity? 240 | | 160 i 80 l 0 0 4 (a) When is the car speeding up? (0.6),(12,16) (Simplify your answer. Type your answer in interval notation. Round to the nearest grid line as needed. Use a comma to separate answers as needed.) When is the car slowing down? (6.12) (Simplify your answer. Type your answer in interval notation. Round to the nearest grid line as needed. Use a comma to separate answers as needed.) (h) The car is traveling the fastest at t= 6 hour(s). (Round to the nearest grid line as needed.) The car traveling the slowest att= 12 hour(s). (Round to the nearest grid line as needed.) (c) The car's maximum velocity is |:| The graph of s = f(t) represents the position of an object moving along a line at time t2 0. a. Assume the velocity of the object is 0 when t= O. For what other values oft is the velocity of the object zero? b. When is the object moving in the positive direction and when is it moving in the negative direction? c. Sketch a graph of the velocity function. d. On what intervals is the speed increasing? "a a. The velocity of the object is zero at t = . (Use a comma to separate answers as needed.) Suppose an object is red vertically upward from the ground on Mars with an initial velocity of 102 ft/s. The height 5 (in feet) of the object above the ground aftert seconds is given by s =102t- 6t2. a. Determine the instantaneous velocity of the object at t = 1. b. When will the object have an instantaneous velocity of 12 ft/s? c. What is the height of the object at the highest point of its trajectory? d. With what speed does the object strike the ground? (E a. The velocity of the object at time t is given by the function v(t) = 102 - 12t . The instantaneous velocity of the object at t = 1 is 90 feet per second. (Type an integer or decimal rounded to the nearest tenth as needed.) b. The object will have an instantaneous velocity of 12 ft/s after feet per second. (Type an integer or decimal rounded to the nearest tenth as needed.)