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I'm having trouble plotting the velocity and acceleration vectors of the following space curve (r3). May anyone help guide me in the right direction to solve this problem?

var('t') r3(t) = (cos(t/2), sin(t), t/6) v3 = diff(r3(t),t) a3 = diff(v3,t) curve3 = parametric_plot3d(r3(t),(t,0,4pi),thickness=0.5) velvecs = Graphics() accvecs = Graphics() for k in range(9): velvecs += arrow(r3(kpi/2),r3(kpi/2)+v3(kpi/2),color='red') #Line 26 accvecs += arrow(r3(kpi/2),r3(kpi/2)+a3(k*pi/2),color='blue') show(velvecs+accvecs+curve3,axes=False)

I'm having trouble plotting the velocity and acceleration vectors of the following space curve (r3). May anyone help guide me in the right direction to solve this problem?

var('t') r3(t) = (cos(t/2), sin(t), t/6) v3 = diff(r3(t),t) a3 = diff(v3,t) curve3 = parametric_plot3d(r3(t),(t,0,4pi),thickness=0.5) velvecs = Graphics() accvecs = Graphics() for k in range(9): velvecs += arrow(r3(kpi/2),r3(kpi/2)+v3(kpi/2),color='red') #Line 26 accvecs += arrow(r3(kpi/2),r3(kpi/2)+a3(k*pi/2),color='blue') show(velvecs+accvecs+curve3,axes=False)

I'm having trouble plotting the velocity and acceleration vectors of the following space curve (r3). May anyone help guide me in the right direction to solve this problem?

var('t') r3(t) = (cos(t/2), sin(t), t/6) v3 = diff(r3(t),t) a3 = diff(v3,t) curve3 = parametric_plot3d(r3(t),(t,0,4pi),thickness=0.5) velvecs = Graphics() accvecs = Graphics() for k in range(9): velvecs += arrow(r3(kpi/2),r3(kpi/2)+v3(kpi/2),color='red') #Line 26 accvecs += arrow(r3(kpi/2),r3(kpi/2)+a3(k*pi/2),color='blue') show(velvecs+accvecs+curve3,axes=False)

I'm having trouble plotting the velocity and acceleration vectors of the following space curve (r3). May anyone help guide me in the right direction to solve this problem?

.

var('t')
 r3(t) = (cos(t/2), sin(t), t/6)
 v3 = diff(r3(t),t)
 a3 = diff(v3,t)
 curve3 = parametric_plot3d(r3(t),(t,0,4pi),thickness=0.5)
    parametric_plot3d(r3(t),(t,0,4*pi),thickness=0.5)
velvecs = Graphics()
 accvecs = Graphics()
 for k in range(9):
     velvecs += arrow(r3(kpi/2),r3(kpi/2)+v3(kpi/2),color='red') arrow(r3(k*pi/2),r3(k*pi/2)+v3(k*pi/2),color='red') #Line 26
     accvecs += arrow(r3(kpi/2),r3(kpi/2)+a3(k*pi/2),color='blue')
    show(velvecs+accvecs+curve3,axes=False)

arrow(r3(k*pi/2),r3(k*pi/2)+a3(k*pi/2),color='blue') show(velvecs+accvecs+curve3,axes=False)

I'm having trouble plotting the velocity and acceleration vectors of the following space curve (r3). May anyone help guide me in the right direction to solve this problem?

.I'm having trouble plotting the velocity and acceleration vectors of the following space curve (r3).

May anyone help guide me in the right direction to solve this problem?

var('t')
r3(t) = (cos(t/2), sin(t), t/6)
v3 = diff(r3(t),t)
a3 = diff(v3,t)
curve3 = parametric_plot3d(r3(t),(t,0,4*pi),thickness=0.5)
velvecs = Graphics()
accvecs = Graphics()
for k in range(9):
    velvecs += arrow(r3(k*pi/2),r3(k*pi/2)+v3(k*pi/2),color='red') #Line 26
    accvecs += arrow(r3(k*pi/2),r3(k*pi/2)+a3(k*pi/2),color='blue')
show(velvecs+accvecs+curve3,axes=False)

I'm having trouble plotting the velocity and acceleration vectors of the following space curve (r3). May anyone help guide me in the right direction to solve this problem?

I'm having trouble plotting the velocity and acceleration vectors of the following space curve (r3).

May anyone help guide me in the right direction to solve this problem?

var('t')
r3(t) = (cos(t/2), sin(t), t/6)
v3 = diff(r3(t),t)
a3 = diff(v3,t)
curve3 = parametric_plot3d(r3(t),(t,0,4*pi),thickness=0.5)
velvecs = Graphics()
accvecs = Graphics()
for k in range(9):
    velvecs += arrow(r3(k*pi/2),r3(k*pi/2)+v3(k*pi/2),color='red') #Line 26
    accvecs += arrow(r3(k*pi/2),r3(k*pi/2)+a3(k*pi/2),color='blue')
show(velvecs+accvecs+curve3,axes=False)