Suppose the position of an object moving horizontally along a line after t seconds is given by the following function s = f(t), where s is measured in feet, withs>0 corresponding to positions right of the origin. Complete parts (a) through (e) below.f(t) = 31 - 6t + 10; 0sts8a. Graph the position function.Choose the correct graph below.A.В.OC.D.As160-As160-As-160400--160-8b. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to the left?v(t) = 6t – 6Choose the correct graph below.O A.O B.Oc.D.AV10-Av0-50-50-0--50--100I-50-8The object is stationary at t=(Simplify your answer. Use a comma to separate answers as needed.) 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.)The object is moving to the left on(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)c. Determine the velocity and acceleration of the object at t = 1.The velocity at t= 1 is(Simplify your answer.)The acceleration a t= 1 is(Simplify your answer.)d. Determine the acceleration of the object when its velocity is zero.The acceleration of the object iswhen its velocity is zero.(Simplify your answer.)e. On what interval(s) is the speed increasing?The speed is increasing on(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)

Name: Suppose the position of an object moving horizontally along a line af
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Description: Suppose the position of an object moving horizontally along a line after t seconds is given by the following function s = f(t), where s is measured in feet, withs>0 corresponding to positions right of the origin. Complete parts (a) through (e) below

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Calculus

Suppose the position of an object moving horizontally along a line 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. Complete parts (a) through (e) below. f(t) = 31 - 6t + 10; 0sts8 a. Graph the position function. Choose the correct graph below. OA. OB. Oc. OD. 160- As 160 -160- -160- b. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to the left? v(t) = 6t - 6 Choose the correct graph below. OA. O B. Oc. OD. 50- 50 -104 The object is stationary at t=. (Simplify your answer. Use a comma to separate answers as needed.)