Asked by Anonymous
particles move at x=2sin(t), y=3cos(t),z=t at any t>0. What is the accelaration and jerk
Answers
Answered by
Steve
velocity v = ds/dt
dx/dt = 2cos(t)
dy/dt = -3sin(t)
dz/dt = 1
acceleration a = dv/dt
x" = -2sin(t)
y" = -3cos(t)
z" = 0
jerk j = da/dt
x"' = -2cos(t)
y"' = 3sin(t)
z"' = 0
dx/dt = 2cos(t)
dy/dt = -3sin(t)
dz/dt = 1
acceleration a = dv/dt
x" = -2sin(t)
y" = -3cos(t)
z" = 0
jerk j = da/dt
x"' = -2cos(t)
y"' = 3sin(t)
z"' = 0
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