A skier is gliding along at on horizontal, frictionless snow. He suddenly starts down a incline. His speed at the bottom is .
What is the length of the incline?
How long does it take him to reach the bottom?
To come up with numerical answers, numerical data must be provided.
We are physicists, not psychics.
You should have been provided with the slope of the incline and the speed at the bottom. Anyway, here is how to do this problem yourself.
Use conservation of energy to deduce the vertical drop.
The vertical drop and the slope can be used to calculate the length of the slope. (Use trigonometry)
The length of the slope and the final speed (which is twice the average speed) can be used to predict the time required.
Time req'd
= (slope length)/(average speed)
To find the length of the incline, we need to gather all the necessary information. The given information is the skier's initial speed and the speed at the bottom of the incline. However, there is no value provided for either of these speeds in the question. Without these values, it is not possible to find the length of the incline.
Similarly, without knowing the distance or the time the skier takes to reach the bottom, we cannot determine how long it takes him to reach the bottom.
To solve for the length of the incline or the time taken to reach the bottom, we would need additional information such as the skier's initial speed or the acceleration along the incline. Once we have these values, we can apply the appropriate kinematic equations to calculate the desired quantities.