Please help me solve this question. I have done the velocity and acceleration equations, but I'm not sure about the rest of the questions or how to draw the graph. The original question is in the pictures at the top. v(t)= 184-32ta(t)= -32Draw a graph that represents s=f(t), v(t), and a(t). The window is [0,11.5] by [-190, 550].a. When is the object momentarily at rest? d?s= f"(t), then complete parts (a) through (f).dt2dsThe function s= f(t) gives the position of an object moving along the s-axis as a function of time t. Graph f together with the velocity function v(t) == f'(t) and the acceleration function a(t) =dts= 184t – 16t, 0sts11.5 (a heavy object fired straight up from Earth's surface at 184 ft/sec)d. When does the object speed up and slow down? Select the correct answer below, and if necessary, fill in the answer box(es) to complete your choice.(Simplify your answer. Type your answer in interval notation. Use integers or decimals for any numbers in the expression.)O A. The object speeds up for t in the intervaland the object slows down for t in the intervalO B. The object speeds up for t in the intervalbut never slows down.C. The object never speeds up, but slows down for t in the intervalO D. The object never speeds up or slows down.e. When is the object moving fastest (highest speed)? Slowest? Select the correct answer below and fill in any answer boxes to complete your choice.O A. The object is moving fastest at t =when the speed isft/sec. The object is moving slowest at t=when the speed isft/sec.(Type an integer or a decimal. Use a comma to separate answers as needed.)B. The object is moving at a constant speed offt/sec.f. When is the object farthest from the axis origin?When t=|sec, the object isfeet from the origin, which is the farthest away. d?s= f"(t), then complete parts (a) through (f).dsThe function s= f(t) gives the position of an object moving along the s-axis as a function of time t. Graph f together with the velocity function v(t) == f'(t) and the acceleration function a(t) =dtdt2s= 184t – 16t, 0 sts 11.5 (a heavy object fired straight up from Earth's surface at 184 ft/sec)b. When does it move to down or up? Select the correct answer below, and if necessary, fill in the answer box(es) to complete your choice.(Simplify your answer. Type your answer in interval notation. Use integers or decimals for any numbers in the expression.)O A. The object is never moving down, but is moving up for t in the intervalO B. The object is moving down for t in the intervaland the object is moving up for t in the intervalO C. The object is moving down for t in the intervalbut is never moving up.O D. The object is never moving down or up.c. When does the object change direction? Select the correct answer below, and if necessary, fill in the answer box to complete your choice.O A. The object changes direction at t =sec,(Type an integer or a decimal. Use a comma to separate answers as needed.)O B. The object never changes direction.d. When does the object speed up and slow down? Select the correct answer below, and if necessary, fill in the answer box(es) to complete your choice.(Simplify your answer. Type your answer in interval notation. Use integers or decimals for any numbers in the expression.)O A. The object speeds up for t in the intervaland the object slows down for t in the interval

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ds The function s = f(t) gives the position of an object moving along the s-axis as a function of time t. Graph f together with the velocity function v(t) = =f'(t) and the acceleration function a(t)%3D dt2 = f"(t), then complete parts (a) through (f). s= 184t - 161, 0sts 11.5 (a heavy object fired straight up from Earth's surface at 184 ft/sec) b. When does it move to down or up? Select the correct answer below, and if necessary, fill in the answer box(es) to complete your choice. (Simplify your answer. Type your answer in interval notation. Use integers or decimals for any numbers in the expression.) O A. The object is never moving down, but is moving up for t in the interval O B. The object is moving down for t in the interval and the object is moving up for t in the interval OC. The object is moving down for t in the interval, but is never moving up. O D. The object is never moving down or up. c. When does the object change direction? Select the correct answer below, and if necessary, fill in the answer box to complete your choice. O A. The object changes direction at t= sec. (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. The object never changes direction. d. When does the object speed up and slow down? Select the correct answer below, and if necessary, fill in the answer box(es) to complete your choice. (Simplify your answer. Type your answer in interval notation. Use integers or decimals for any numbers in the expression.) O A. The object speeds up for t in the interval and the object slows down for t in the interval

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...