Question

a baseball diamond is a square with side 90 ft. a battee hits the ball and runs towards 1st base.

1. at what rate (ft/s) is his distance from second base decreasing when he is halfway to the firstbase, assuming that his speed it 8.56ft/s? round to correct 2 decimal places. answer should be positive

2. at what rate (ft/s) is his distance from third base increasing at the same moment, assuming that his speed it 5.59ft/s. round answer to correct two decimal places. answer should be positive

3. one line connents 2 base and the batter and the other connects second base and first base. let theta be the acute angle between these two lines. at what rate (rads/s) is theta decreasing at the same moment, assuming that his speed is 13.72 ft/s

Answer 1