Answer:
To determine the distance Rickey Henderson slides across the ground before touching the base, we can use the equation of motion:
v^2 = u^2 + 2as
where:
v = final velocity = 5.18 m/s
u = initial velocity = 7.68 m/s
a = acceleration = -4.94 m/s^2
s = distance
We want to find s, so let's rearrange the equation:
s = (v^2 - u^2) / (2a)
Now, let's substitute the given values:
s = (5.18^2 - 7.68^2) / (2 * -4.94)
Calculating this, we get:
s = (26.7884 - 59.2384) / (-9.88)
s = -32.45 / -9.88
s ≈ 3.28 meters
Therefore, Rickey Henderson slides approximately 3.28 meters across the ground before touching the base.
Step-by-step explanation:
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