Air resistance represents the forces that are in opposition to the relative motion of an object as it hands through the air. These drag forces act opposing to the oncoming flow velocity, thus delaying the object down.
Given: h = 75cm = 0.75 m
Find: vi, t
The equations we can use
v = vi - 9.81 t
y = vi t - 4.905 t²
There's an additional piece of knowledge that we know. At the peak of the jump, when the fox is at height h, it has zero velocity:
0 = vi - 9.81 tp 0.75 = vi tp - 4.905 tp²
We are now left with two equations and two unknowns. We can solve for vi, the initial velocity.
vi = 9.81 tp
0.75 = 9.81 tp² - 4.905 tp²
0.75 = 4.905 tp²
tp = 0.391 seconds
vi = 9.81 tp = 3.84 m/s
That's one answer. Using the second equation :
y = vi t - 4.905 t²
0 = 3.84 t - 4.905 t²
0 = t (3.84 - 4.905 t)
t = 0, 0.783 s
So the fox leaves the snow at 3.84 m/s and disburses 0.783 seconds in the air.
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