a) A batter bunts down the third base line. If the ball rolls at a rate of 1 foot per second and the player runs at a rate of 22 feet per second, relate the passage of time in seconds to the distance between the player and the ball. b) The catcher picks up the ball after 1.5 seconds. How quickly is the distance between him and the runner changing at that moment? If the catcher throws 88 feet per second, will the runner be safe?
A) A batter bunts down the third base line. If the ball rolls at a rate of 1 foot per second and ...
A batter hits a ball toward second base at 81 ft/sec and runs toward first base at a rate of 29 ft/sec. At what rate does the distance between the ball and the batter change when the batter has run 13 feet? (Hint: recall, the law of cosines.) 2nd 3rd 1st 90 ft Home ft/sec help (numbers)
A batter hits a ball toward second base at 81 ft/sec and runs toward first base at a rate of 29 ft/sec. At...
A baseball diamond is a square with side lengths of 90
ft. A batter hits the ball and runs toward first base at
a rate of 26 ft/s. At what rate is the distance between
the batter and second base decreasing when the batter is half way
to first base? Let x be the distance between
the batter and first base, y be the distance between
first base and second base, and z be the distance from
second base to the batter. All distances are measured in...
use related rates.
1. One runner stands at first base and another on second base in a baseball game. At the moment a ball is hit, the runner at first base runs to second base at a speed of 18 ft/s. Simultaneously, the runner on second runs to third base at 20 ft/s. The paths between home plate, first base, second base, and third base create a square with a side length of 90 ft. a. (1 pt) How far...
A 26 foot ladder is sliding down a vertical wall. The base of the ladder is sliding away from the wall at a rate of 3 feet per minute. At what rate is the ladder sliding down the wall when the base of the ladder is 10 feet from the wall? Would you expect the same rate when the ladder is any distance from the wall? Would you expect your answer to be negative when the base is any distance...