Physics Problem?

Question

A city planner is working on the redesign of a hilly portion of a city. An important consideration is how steep the roads can be so that even low-powered cars can get up the hills without slowing down. It is given that a particular small car, with a mass of 1050 kg, can accelerate on a level road from rest to 22 m/s (79.2 km/h) in 14.0 s. Using this data, calculate the maximum steepness of a hill.

Answer 1

The car can exert a maximum force calculated according to F=m*a
as
a=22/14
F=1050*22/14
F=1650 N

As the car ascends the hill, the forward speed is slowed by gravity according to
m*g*sin(th) where th is the angle of the hill from horizontal

to maintain a constant speed, the car must exert a force that counterbalances the gravity

therefore
th=asin(1650/(1050*9.81))
th=9.2 degrees

the grade would be expressed as 16% grade

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Answer 2

the galaxies rotate at speeds inconsistent with their obvious mass is given that we do see it all. I am regarding it as being the theoretical Dark Matter. There are very robust proofs that suggests that darkish topic exist. One the is the inconsistent velocity of and obvious mass. darkish topic makes up approximately seventy five% to eighty% of the problem within the Universe...