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

question 32

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 ) 5.4802k

• 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: .
• B) 5.0956k
• C) 91.310k
• D) 90.2388k

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Definitions:

Excess Capacity

The situation where a firm produces less than its total output capacity, often due to lack of demand.

Monopolistically Competitive

A market structure where many firms sell products that are similar but not identical, allowing for some degree of market power and price setting.

Long-Run Equilibrium

A state in which all inputs can be adjusted by firms, market supply equals demand, and there is no incentive for economic actors to alter their behavior.

Excess Capacity

The condition where a business produces less than the maximum amount possible, often leading to inefficiency.