Final answer:
To find the distance the sledder moved after accelerating from rest at 6.84 m/s² for 2.39 seconds, use the kinematic equation s = ut + ½at², which gives a displacement of 19.541 meters hence she moved 19.541 meters.
Step-by-step explanation:
To determine the distance the sledder moved while accelerating from rest at 6.84 m/s² for 2.39 seconds, we can use the kinematic equation for uniformly accelerated motion:
s = ut + ½at²
where:
- s is the displacement (distance moved)
- u is the initial velocity, which is 0 m/s since the sledder started from rest
- a is the acceleration, which is 6.84 m/s²
- t is the time, which is 2.39 seconds
Plugging in the values into the equation, we have:
s = 0 * 2.39 + ½ * 6.84 * (2.39)²
s = ½ * 6.84 * 5.7121
s = 3.42 * 5.7121
s = 19.541 m
Thus, the sledder moved a distance of 19.541 meters.