The time elapses before her velocity is reduced to +2.92 m/s is 5.5 seconds.
v = the initial velocity = 6.94 m/s
v0 = the reduced velocity = 2.92 m/s
μ = the coefficient of kinetic friction = 0.0801
g = the gravity = 9.8 m/s^2 (assumed)
First we calculate the acceleration of the ice skater with this formula,
a = μ*g
= 0.0801 * 9.8 = 0.78498 m/s^2
Then, from basic formula about velocity, acceleration, and time which is,
a = (v-v0)/t
We can change the formula to calculate time. So,
t = (v-v0)/a
= (6.94-2.92)/0.78498
= 5.5 s
Thus, time needed to reduce velocity to +2.92 m/s is 5.5 seconds.
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