A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 6.0 sin ([pi/2]x). Find the magnitude of the acceleration (in m/s2) of the body at t = 7.0 s

a. 18
b. 8.9
c. 5.9
d. 15
e. 27

Question

A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 6.0 sin ([pi/2]x). Find the magnitude of the acceleration (in m/s2) of the body at t = 7.0 s

a. 18
b. 8.9
c. 5.9
d. 15
e. 27

sidsiddhartha · Answer

x = 6.0 sin ([pi/2]x) i think the last x should be t

anonymous · Answer

Yeah it's suppose to be t
x = 6.0 sin ([pi/2]t)

sidsiddhartha · Answer

ans is coming 14.51 but its not in the opt

anonymous · Answer

Do I have to get the derivative twice? Then plug in t?

sidsiddhartha · Answer

yes for acceleratn u have to differentiate twice and put the value of t

anonymous · Answer

Ok thanks, I got 14.8044 which comes close to answer d