2445.sagews

(t,g,v0,theta)=var('t,g,v0,theta')

F(t,g,v0,theta)=(g^2)*(t^3)-3*v0*g*(t^2)*sin(theta)+2*(v0^2)*t
F

(t, g, v0, theta) |--> g^2*t^3 - 3*g*t^2*v0*sin(theta) + 2*t*v0^2

plot(F(t,9.8,1,1),t,0,15)

plot(F(t,9.8,1,71),t,0,35)

F_juan(t,g,v0,theta)=((cos(theta)*v0)^2)*t+((-(t^2)*g/2)+(t*sin(theta)*v0))*((-(t)*g)+(sin(theta)*v0))
F_juan

(t, g, v0, theta) |--> t*v0^2*cos(theta)^2 + 1/2*(g*t - v0*sin(theta))*(g*t^2 - 2*t*v0*sin(theta))

@interact
def _(k=(0,80)):
    show(plot(F_juan(t,9.8,1,k*pi/180), (t,0,.2)), figsize=8)

k  [removed] [removed] [removed] [removed]

plot(F_juan(t,9.8,1,72*(pi/180)), (t,0,15))

plot(F_juan(t,9.8,1,72*(pi/180)), (t,0,.5))

plot(F_juan(t,9.8,1,72*(pi/180)), (t,0,.5))

plot(F_juan(t,9.8,1,72*(pi/180)), (t,0,.2))

plot(F_juan(t,9.8,1,70*(pi/180)), (t,0,.2))