After being struck by a bowling ball, a 1.5 kg bowling pin moving to the right at +3.0 m/s collides with another 1.5 kg bowling pin at rest. find the velocity of the second pin when:

a)the first pin moves to the right after the collision at +0.5 m/s.
b)the first pin stops moving when it hits the second pin.

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)