It is known that there are two potential routes from uf campus to regal royal park. route 1 has a 40 mi/h speed limit and is 3.5 miles in length; route 2 is 5 miles in length with a 35 mi/h speed limit. studies show that the total travel time on route 1 increases one minutes for every additional 1,000 vehicles added. minutes of travel time on route 2 increase with the square of the number of vehicles, expressed in thousands of vehicles per hour. determine user equilibrium travel times if the total flow on these routes is 3,000 vehicles.

Which explanation describes the forces involved for a person to walk down the sidewalk? a. the person's feet push backward on the sidewalk; the sidewalk pushes backward on the person. b. the person's feet push forward on the sidewalk; the sidewalk does not push on the person. c. the person's feet push backward on the sidewalk; the sidewalk pushes forward on the person. d. the person's feet push forward on the sidewalk; the sidewalk pushes forward on the person.

In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. the cylinder begins to rotate about a vertical axis. then the floor on which the passengers are standing suddenly drops away! if all goes well, the passengers will “stick” to the wall and not slide. clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. part a what is the minimum rotational frequency, in rpm, for which the ride is safe? express your answer using two significant figures. f f = rpm

Why does gravity have a lesser than grater effect on higher altitudes?