Want to manipulate and visualize differential equation of a falling object
something to get you started. Set the initial height at 100 above the ground. Plot shows how the object height changes
Manipulate[
data = Table[{i,
sol /. {m -> theMass, drag -> theDrag, v0 -> theV0, t -> i}}, {i,0, time, 0.01}];
ListLinePlot[data, AxesOrigin -> {0, 100},
PlotRange -> {{0, 10}, {0, 200}}, AxesLabel -> {"Time", "y(t)"},
BaseStyle -> 14, PlotStyle -> Red, GridLines -> Automatic,
GridLinesStyle -> LightGray]
,
{{theMass, 10, "Mass"}, 0.01, 10, 0.01, Appearance -> "Labeled"},
{{theDrag, 1, "Drag"}, 0.01, 10, 0.01, Appearance -> "Labeled"},
{{theV0, 20, "Initial velocity"}, 0, 40, 0.01,
Appearance -> "Labeled"},
{{time, 0.001, "time"}, 0.001, 10, 0.001, Appearance -> "Labeled"},
TrackedSymbols :> {theMass, theDrag, theV0, time},
Initialization :> {
g = -9.81;
ode = m y''[t] == m g - drag y'[t];
sol = y[t] /. First@DSolve[{ode, y[0] == 100, y'[0] == v0}, y[t], t]
}
]