# Visualizing how a function varies as a parameter varies [closed]

I would like to plot the following function: $$\dot{y}=9.81\frac{90}{162.84}(e^{-\frac{162.84}{90}(t-t_0))}-1)+9.81\frac{90}{14.81}e^{-\frac{162.84}{90}(t-t_0)}(e^{-\frac{14.81}{90}t_0}-1)$$ With t in the x-axis and $\dot{y}$ in the y-axis. I would like to use $t_0$ as a parameter, do you know how I can get a graph where I see what happens when I change $t_0$? Like a dynamic one if it was possible. All I could find in the documentation was the following:

ParametricPlot[{((9.81*90)/(162.84))*(Exp[-(162.84/90)*(t - r)] -
1) + 9.81*(90/14.81)*
Exp[-(162.84/90)*(t - r)]*(Exp[-(14.81*r)/90] - 1)}, {r, 0,
50}, {t, 0, 40}]


Where I just renamed $t_0$ to $r$ to be less pedantic. Can you please help me? When I use this command, all I get is an empty frame showing the Cartesian axes.

To visualize how a function varies as a parameter varies you should become acquainted with Manipulate.
Manipulate[