How much time, at most, does the man have to get out of the way?

Water drops fall from the edge of a roof at a steady rate. A fifth drop starts to fall just as the first drop hits the ground. At this instant, the second and third drops are exactly at the bottom and top edges of a 1.25-m-tall window. How high is the edge of the roof?

A runner and a cyclist compete in a race over a straight course 20 km long. The runner runs at a steady speed of 10 m/s toward the finish line. The cyclist zips at a speed of 23 m/s toward the finish line for 12 km but upon seeing that he is already far ahead of the runner, he decides to stop and wait for the runner to catch up to him. The runner eventually reaches the cyclist and continues moving toward the finish line. The cyclist waits for a while after the runner passes and then cycles toward the finish line again at 23m/s.    Both the cyclist and the runner cross the finish line in the exact same instant. Assume both of them, when moving, move steadily at their respective speeds.  (a) How far is the runner from the finish line when the cyclist resumes the race?  (b) For how long in time was the cyclist stationery?

My mutt dog who seems to be a mix of pug, schnauzer, and dachshund, Boomer, likes to eat worms. He spots a juicy one in the grass and takes off from our porch at 5.22 m/s. When he reaches the worm, 8.16 m from our porch, he determines it's not up to his dog standards and decides to let it live another day. How long did it take Boomer to reach the worm, to two decimal places?

A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 4.0 m/s, and her takeoff point is 1.1 m above the pool.  Find how long her feet are in the air. Group of answer choices 1.03 2 0.28 s 0.22 s 0.44 s

A drop tower of an amusement park rises at 5 m/s and is 45 m above theground when one of the riders drops her phone. How long does it take for the phone to fall to the ground?

A Boeing 747 "Jumbo Jet" has a length of 64.5 m. The runway on which the plane lands intersects another runway. The width of the intersection is 24.8 m. The plane decelerates through the intersection at a rate of 5.56 m/s2 and clears it with a final speed of 43.1 m/s. How much time is needed for the plane to clear the intersection?

Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 1.60 m tall and the nerve impulse travels at uniform speed.

A boy jumps from rest, straight down from the top of a cliff. He falls halfway down to the water below in 0.697 s. How much time passes during his entire trip from the top down to the water? Ignore air resistance.

An object is thrown straight up from the top of a building that is 31.2 m high. The object is thrown with a velocity of 16.4 m/s. At the same time the object is thrown upwards, a person runs along the ground with a constant speed of 3.4 m/s. When the object hits the ground, how far has the person gone in meters?