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Mathematics
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In the Angry Birds™ game, the green bird (also called the Boomerang Bird) can change directions. Suppose the green bird is catapulted along the x-axis such that its position at time t is given by x(t) = 4cos !t 2 ( ) "1 for 0 ! t ! 3 2
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x(t)=4cos(pit^2)-1 for o les than or equal to t les than or equal to root 3/2
a. Find an expression for the velocity of the bird.
b. For what values of t is the bird moving left? Justify your answer.
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