Velocity and Distance while skiing

In summary, the problem involves a skier encountering an icy bump while skiing and leaving horizontally at 12.0 m/s. The question is asking for the distance the skier will land horizontally from their starting point after dropping 7.00 m. The solution involves finding the time it takes to fall 7m and using that and the given horizontal velocity to calculate the horizontal distance traveled.
  • #1
Rick A. Joseph
1
0
I've encountered this one physics problem that I can't quit figure out:

"While skiing, Ellen encounters an unexpected icy bump, which she leaves horizontally at 12.0 m/s. How far out, horizontally, from her starting point will Ellen land if she drops a distance of 7.00 m in the fall?"

Can somebody please help me out!
 
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  • #2
You need to find how long it will take to fall 7m. Use that time and the given horizontal velocity to find how far forward the skier travels.
 
  • #3
What have you done so far on the problem?

This is how far she falls: [itex]y = - \frac {1}{2} g t^2[/itex]

Find out how long it takes her to fall 7m. You should then be able to find out how far she moves horizontally.
 

FAQ: Velocity and Distance while skiing

1. What is the difference between velocity and speed while skiing?

Velocity is a vector quantity that includes both the magnitude and direction of an object's motion, while speed is a scalar quantity that only measures the magnitude of an object's motion. In skiing, velocity would refer to the skier's speed and direction of travel, while speed would only refer to the skier's rate of motion.

2. How is velocity calculated while skiing?

Velocity is calculated by dividing the change in distance by the change in time. In skiing, this could be done by measuring the distance travelled in a specific direction over a certain amount of time, and then dividing the two values to find the average velocity.

3. Does velocity affect the distance a skier covers?

Yes, velocity directly affects the distance a skier covers. The faster the velocity, the more distance the skier will cover in a given amount of time. This is due to the fact that velocity is a measure of both speed and direction, while distance is a measure of how far an object has travelled.

4. How can velocity be increased while skiing?

Velocity can be increased while skiing by either increasing the skier's speed or changing their direction of travel. This can be achieved through proper technique, such as carving turns or using the terrain to generate more speed. Additionally, using equipment such as waxed skis or aerodynamic clothing can also increase velocity.

5. Can velocity be negative while skiing?

Yes, velocity can be negative while skiing. This would occur if the skier is moving in the opposite direction of their initial direction of travel. For example, if a skier is skiing downhill and then turns around to go back up the hill, their velocity would be negative as they are now travelling in the opposite direction of their original motion.

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