A Weight Is Hung from a Spring and Set in Motion

Multiple Choice

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 πt 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. ​

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.