3336.sagews

var('t') 
v = vector([e^t,t^2-1, t+4]) 
Velocity = diff(v,t) 
Acceleration = diff(Velocity,t) 
mag = norm(Velocity) 
Speed = mag(2) 
a=parametric_plot3d(Velocity,(t,-10,10)) 
veloVector = line([(0,0,0),v(t=2)],color='red',thickness=7) 
accelVector = line([v(t=2),Velocity(t=2)],color='green',thickness=7) 
posVec = line([v(t=2),Acceleration(t=2)],color='blue',thickness=7) 
print("1a)")
print(Velocity)
print("1b)")
print(Acceleration)
print("1e)")
print(Speed) 
a = parametric_plot3d(v,(t,0,3)) 
veloVector+accelVector+posVec+a

__main__:1: DeprecationWarning: Substitution using function-call syntax and unnamed arguments is deprecated and will be removed from a future release of Sage; you can use named arguments instead, like EXPR(x=..., y=...) 1a) (e^t, 2*t, 1) 1b) (e^t, 2, 0) 1e) sqrt(e^4 + 17)