The x-component of the acceleration is
Explanation:
In order to find the x-component of the acceleration, we just need to analyze the motion in the x-direction.
The acceleration along the x-direction is given by:
where
is the final velocity in the x-direction
is the initial velocity in the x-direction
t is the time
At the beginning, the ice skater is moving at
u = 2.25 m/s
in a direction
So the initial velocity in the x-direction is
After t = 8.33 s, the ice skater is moving at
v = 4.65 m/s
in a direction
So the final velocity in the x-direction is
Therefore, the x-component of the acceleration is:
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