Final answer:
The acceleration of the skater can be found using the kinematic equation, but the calculated value of 0.4986 m/s² does not match any of the provided options, indicating a possible error in the question or the options.
Step-by-step explanation:
To determine the skater's acceleration, we can use the kinematic equation for constant acceleration, which states:
v^2 = u^2 + 2as
Where,
- v is the final velocity (5.35 m/s),
- u is the initial velocity (0 m/s, since the skater starts from rest),
- a is the acceleration,
- s is the displacement (28.7 m).
Rearranging the equation for acceleration gives:
a = (v^2 - u^2) / (2s)
Plugging in the values:
a = (5.35^2 - 0^2) / (2 * 28.7)
a = (28.6225) / (57.4)
a = 0.4986 m/s²
This is not an option given in the multiple choices provided by the student, which suggests there might be a typo or mistake in the provided options or the question details. The student may need to check the question again for accuracy or discuss this discrepancy with their instructor.