Suppose the Position of an object moving horizontally aftert seconds is given by the following function s = f(t), where s is measured in feet, with s > 0 corresponding to positions right of the origin. a. Graph the position function. h. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to the left? c. Determine the velocity and acceleration of the object at t= 1. d. Determine the acceleration of the object when its velocity is zero. a. On what intervals is the speed increasing? 0=P-6F+9nosts5 a. Graph the position function. Choose the correct graph below. CA on 00 on s s t s A t 20 Q 0 Q 20 Q 0 S i Q t 2 l3 t a\" a 0 .2 0 > .2 An object thrown vertically upward from the surface of a celestial body at a velocity of 35 m/s reaches a height of s = - 0.7t2 + 35t meters in t seconds. a. Determine the velocity v of the object after t seconds. b. When does the object reach its highest point? c. What is the height of the object at the highest point? d. When does the object strike the ground? 9. With what velocity does the object strike the ground? f. On what intervals is the speed increasing? a. The object's velocity after t seconds is v(t) = D |:| The population of a certain state (in thousands) from 1991 (t = 0) to 2001 (t = 10) is modeled by the polynomial p(t) = - 0.35t2 +109t+ 7822. a. Determine the average growth rate from 1991 to 2001. b. What was the growth rate for this state in 1993 (t = 2) and 2001 (t = 10)? c. Use a graphing utility to graph p' for 0 sts 10. What does this graph tell you about population growth in this state during the period of time from 1991 to 2001? a. The average growth rate from 1991 to 2001 is I] thousand people! year. (Type an integer or a decimal.)