The goal of this activity is to see if you are comfortable with the derivative of trigonometric functions. Consider the following data: A steel ball is rolling along a 20-inch long straight track. After t seconds have passed, its distance from the midpoint of the track is measured in inches and it is given by d(t) = 3 sin(t). Think of the track as aligned from left to right. Positive distances mean the ball is to the right of the center; negative distances mean the ball is to the left of the center. Find a formula for the velocity of the ball after t seconds. Ov=3sin(t) ○v = 3 cos(t) Ov=-3 sin(t) Ov=-3 cos(t) What is the physical interpretation for a positive velocity? Select all options that apply. O The ball is moving to the left O The ball is speeding up. O The ball is moving to the right O The ball is slowing down.

Q: #4. Show that equation | 2-1-2|=1 Can be written as 121²2 Re Z-2 Im Z +1=0.

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