Water drips from the nozzle of a shower onto the floor 2.45 m below. The drops fall at regular intervals of time, with the first drop striking the floor at the instant the third drop begins to fall. Assume that air resistance is negligible. Required:
a. How long does it take for the water drop to fall from the nozzle to the ground?
b. What is the height of the second drop (from the floor) when the first drop strikes the floor?

Arunner is jogging at a steady 3.6 km/hr. when the runner is 2.9 km from the finish line, a bird begins flying from the runner to the finish line at 14.4 km/hr (4 times as fast as the runner). when the bird reaches the finish line, it turns around and flies back to the runner. even though the bird is a dodo, we will assume that it occupies only one point in space, i. e., a zero-length bird. how far does the bird travel? (b) after this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. the bird repeats the back and forth trips until the runner reaches the finish line. how far does the bird travel from the beginning? (i. e. include the distance traveled to the first encounter)