Afigure skater skates across a rink of length 50 m in 12.1 seconds. a. what is the average speed of the skater? (2 points) b. it takes the figure skater 2 seconds to increase her speed from 4 m/s to 5.3 m/s. what is the acceleration of the skater? (2 points) c. the skater is moving at a speed of 13 m/s when she starts to brake. she comes to a stop after traveling a distance of 8 m. what was her acceleration? (2 points)

(a) The skater covers a distance of S=50 m in a time of t=12.1 s, so its average speed is the ratio between the distance covered and the time taken:


(b) The initial speed of the skater is

while the final speed is

and the time taken to accelerate to this velocity is t=2 s, so the acceleration of the skater is given by


(c) The initial speed of the skater is 

while the final speed is 

since she comes to a stop. The distance covered is S=8 m, so we can use the following relationship to find the acceleration of the skater:

from which we find

where the negative sign means it is a deceleration.

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