Respuesta :
Answer:
400 meters
Explanation:
In order to solve this problem, you will want to use an equation to solve for displacement with the ability to calculate with an object at rest. The equation that works best for this is d = 1/2 at².
In the word problem, we were given the following information:
a = 2 m/s²
t = 20 seconds
Now we can plug those values into the equation and solve for d.
d = 1/2 at²
d = 1/2 (2 m/s²)(20 seconds)²
d = 1/2 (2) (400)
d = 1/2 (800)
d = 400 meters
At the end of the given time, the skier would have travelled a distance of 400 meters.
Given the data in the question;
Since the skier starts from rest
- Initial velocity; [tex]u = 0[/tex]
- Acceleration of the skier down a slope; [tex]a = 2 m/s^2[/tex]
- Time taken; [tex]t = 20s[/tex]
Distance traveled; [tex]s = \ ?[/tex]
To determine how far the skier traveled, we use the second equation of motion:
[tex]s = ut + \frac{1}{2} at^2[/tex]
Where s is distance traveled, u is initial velocity, t is time taken and a is acceleration.
We substitute our given values into the equation
[tex]s = [0 * 2s] + [ \frac{1}{2} *\ 2m/s^2\ *\ (20s)^2\\\\s = \frac{1}{2} *\ 2m/s^2\ *\ 400s^2\\\\s = 400m[/tex]
Therefore, at the end of the given time, the skier would have travelled a distance of 400 meters.
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