Question

Third base Second base 90 Home Player 30 First base

Solve the problem. Please show all work. Thanks you.

Baseball players are using a baseball diamond that is a square 90 ft on a side. A player runs from first base to second at a rate of 16 ft/sec.

a) At what rate is the player's distance from third base changing when the player is 30 ft from first base?

b) At what rates are angles \theta_1\:and\:\:\theta_2\: (see the figure) changing at that time?

c) The player slides into second base a the rate of 15 ft/sec. At what rates are angles \theta_1\:and\:\:\theta_2\: changing as the player touches base?

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