To calculate Michael Jordan's leap time, we need to use the equation of motion for vertical displacement in order to find how long it takes him to reach his maximum height:
Δy = V₀y * t + (1/2) *a * t²
In this equation:
- Δy represents the vertical displacement (1.2m).
- V₀y is the initial vertical velocity, which is 0 since Michael Jordan starts from rest.
- a is the acceleration due to gravity (-9.8m/s²).
- t is the time it takes for Michael Jordan to reach his maximum height.
Rearranging the equation, we get:
Δy = (1/2) * a * t²
Substituting the given values, we have:
1.2 = (1/2) * (-9.8) * t²
Simplifying further:
1.2 = -4.9 * t²
Dividing both sides by -4.9:
t² = -1.2 / -4.9
t² ≈ 0.2449
Taking the square root of both sides, we find:
t ≈ √0.2449
t ≈ 0.4949 seconds
Therefore, Michael Jordan's leap time is approximately 0.4949 seconds.