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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

A Weight Is Hung from a Spring and Set in Motion