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Strayer University - ACC565 5651018916 Motion Along a Line

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Calculus Writing Assignment: Motion Along a Line Each question is worth 5 points. Total Points: 50 Answer each of the following problems. Make sure to show your work. 1) Suppose an object moves along a horizontal path with the position function x(t) = 4t – t 2 on the time interval 0 ≤ t ≤ 5, where x is measured in meters and t is measured in seconds. Use units to describe the displacement of the object from t = 0 to t = 5. 2) Suppose an object moves along a horizontal path with the position function x(t) = 4t – t 2 on the time interval 0 ≤ t ≤ 5, where x is measured in meters and t is measured in seconds. Find the average velocity of the object from t = 0 to t = 5. Make sure to state units in your answer. 3) Suppose an object moves along a horizontal path with the position function x(t) = 4t – t 2 on the time interval 0 ≤ t ≤ 5, where x is measured in meters and t is measured in seconds. Find the instantaneous velocity of the object from t = 1. Use units to describe what this value means. 4) Suppose an object moves along a horizontal path with the position function x(t) = 4t – t 2 on the time interval 0 ≤ t ≤ 5, where x is measured in meters and t is measured in seconds. Find the instantaneous velocity of the object from t = 2. Use units to describe what this value means. 5) Suppose an object moves along a horizontal path with the position function x(t) = 4t – t 2 on the time interval 0 ≤ t ≤ 5, where x is measured in meters and t is measured in seconds. Find the instantaneous velocity of the object from t = 4. Use units to describe what this value means. 6) The velocity of an object on the time interval [0, 5] is given in the graph below. Assuming velocity is measured in feet per minute, what is the average acceleration of the object from t = 0 to t = 5? Use units in your answer. 7) The velocity of an object on the time interval [0, 5] is given in the graph below. Assuming velocity is measured in feet per minute, what is the instantaneous acceleration of the object at t = 1? Use units in your answer. 8) The velocity of an object on the time interval [0, 5] is given in the graph below. Assuming velocity is measured in feet per minute, what is the instantaneous acceleration of the object at t = 3? Use units in your answer. 9) The velocity of an object on the time interval [0, 5] is given in the graph below. Assuming velocity is measured in feet per minute, what is the speed of the object at t = 4? Use units in your answer. 10) The velocity of an object on the time interval [0, 5] is given in the graph below. On what interval(s) is the object’s position decreasing? Too

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