The Time Required for a Skier, Initially at Rest, to Ski

question 85

Multiple Choice

The time required for a skier, initially at rest, to ski from point A to point B on an inclined plane (where B is not directly downhill from a. is given by: . In the equation above, a is the value of the parameter u at point A, b is the value of u at point B, and k is a constant. The expressions x(u) and y(u) represent parametrically the trajectory taken by the skier. The "straight downhill" direction is assumed to be in the direction of increasing values of y.
Find the time required to complete the trip if the skier chooses the following trajectory: .

• A) 6.6855k
• B) 2.5546k
• C) 11.7447k
• D) 7.8653k

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Definitions:

Normal Good

A normal good is a type of good for which demand increases as the income of individuals increases.

Equilibrium Price

The rate at which the product's supply equals its demand in the market.

Equilibrium Quantity

At the prevailing market price, the supply of goods or services is exactly the same as the demand for them.

Excess Demand

A situation where the quantity of a good or service demanded surpasses the quantity supplied at the current price.