The motion of a spring-mass system is described by y=4sin(piT-pi/4) where y is the distance in feet the equilibrium position and t is time in seconds. Find the acceleration of the mass at time t=3/4 seconds.

The answer will be in pi^2 units.

Question

The motion of a spring-mass system is described by y=4sin(piT-pi/4) where y is the distance in feet the equilibrium position and t is time in seconds. Find the acceleration of the mass at time t=3/4 seconds. 

The answer will be in pi^2 units.

anonymous · Answer

do you not understand what they are asking you or need help figuring it out?

anonymous · Answer

they are asking you for the acceleration which is the change in velocity over change in time
velocity is change in position over change in time
therefore they are asking you to find the value of the second derivative when t = 3/4

anonymous · Answer

so the second derivative would be:  4 Pi^2 Cos[Pi (1/4 + x)].....

anonymous · Answer

yes

anonymous · Answer

so now i just plug in t=3/4 into the second derivative

anonymous · Answer

can u please help me solve my other two questions on my page?