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.

hi there!

out of the two, (b) precision would be more reasonable.   however, both a and b could be pretty reasonable.

-awesomerepublic   : )

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

305.7

explanation:

density =m/v

density =917/3.00

density = 305.

approximately = 305.7

in four significant figures