A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation
?
v = 3.5sin 4?t
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where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position.
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A. The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is 
seconds.
B. The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is 
seconds.
C. The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is 
seconds..
D. The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is 
seconds.
E. The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is 
seconds.
Answer: B
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Perform the indicated operations and simplify the result. Leave the answer in factored form.
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A. 
B. 
C. 
D. 