Suppose the position of an object moving horizontally after t seconds is given by the following functions = f(t), where s is measured in feet, with s > 0 corresponding to positions right of the origin a. Graph the position function b. 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. e. On what intervals is the speed increasing? ft) 10t-22; 0 sts 8

what would the tangent to the curve equal when t= 1

Done

Suppose the position of an object moving horizontally after t 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. b. 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. e. On what intervals is the speed increasing? f(t) = 5t² - 6t; 0≤t≤7 O A. As 300- -100- b. v(t) = Graph the velocity function. Choose the correct graph below. A. Av 80- -40- Q A B. 100- -300- B. 40- -80- S Q When is the object stationary? t= (Simplify your answer. Use a comma to separate answers as needed.) When is the object moving to the right? The object is moving to the right on (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) When is the object…