Question 01

A Calculator MAY be used to help answer this question.

Be certain to limit yourself to the four permissable calculator functions.

A baseball diamond is a square with each side 90 feet in length. A player runs from second base to third base at a rate of 18 ft/sec.

(a) At what rate is the player's distance from first base, A, changing when his distance from third base, D, is 22.5 feet?

(b) At what rate is angle α increasing when D is 22.5 feet?

(c) At what rate is the area of the trapezoidal region, formed by segments A, B, C and D changing when D is 22.5 feet?

Solution