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Can you please help me answer all of these? Thanks t (seconds) 0 10 40 60 W (t) (meters) 100 136 9 49 v(t) (meters

Can you please help me answer all of these? Thanks

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t (seconds) 0 10 40 60 W (t) (meters) 100 136 9 49 v(t) (meters per second) 2.0 2.3 2.5 4.6 Wolfie rides a unicycle back and forth along a straight east-west track. The twice-differentiable function W models Wolfie's position on the track, measured in meters from the western end of the track, at time t, measured in seconds from the start of the ride. The table above give values for W (t) and Wolfie's velocity, v(t), measured in meters per second, at selected times t. CHA - 3 a) Use the data in the table to approximate Ben's acceleration at time t = 5 seconds. Indicate units of measure. T = 5 a(5 ) = V ( 10 ) - v(o ) _ 0. 3 10 . 0 =0.03 meters / sec 10 CHA- 3 b) Write the equation of the line tangent to Wolfie's position (W (t)) at t = 40 seconds. Use this line to approximate Wolfie's position at t = 50 seconds. IM- 5 c) Using correct units, interpret the meaning of Jo lv(t) |dt in the context of this problem. Approximate So lv(t) |dt using a left Riemann sum with the subintervals indicated by the data in the table. B (60) - B (40) - 40-7 the ran value the age 60 - 40 20 implies there is a time, yo et Cbo, such the ved) = 2 meters perscom A- 3 d) A light is directly above the western end of the track. Wolfie rides so that at time t, the distance L(t) between Ben and the light satisfies (L(t))2 = 12 + (W(t))2. At what rate is the distance between Ben and the light changing at time t = 40? ( 1 6+ ) )2 12+ ( ult ) )2 t= 40

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