Aroller coaster is traveling at 13 m/s when it approaches a hill that is 400 m long. heading down the hill, it accelerates at 4.0 m/s2. what is the final velocity of the roller coaster? round your answer to the nearest whole number.

The final velocity of the roller coaster is 58.04

Explanation:

Kinematics of the problem:

The The roller coaster  moves with uniform accelerated movement moves with uniform accelerated movement, then, We use the acceleration equation for this type of movement:

  Formula 1

: final speed

: initial speed=

d=distance traveled by The roller coaster  =400m

Final velocity calculating:

We replace known information in the formula 1:

vf2=3369

The final velocity of the roller coaster is

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

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