Atortoise and a hare are competing in a 1200-meter race. the arrogant hare decides to let the tortoise have a 580-meter head start. when the start gun is fired the hare begins running at a constant speed of 9 meters per second and the tortoise begins crawling at a constant speed of 5 meters per second. let t t represent the number of seconds that have elapsed since the start gun was fired. write an expression in terms of t t that represents the hare's distance from the starting line (in meters).

Distance traveled by the hare = d = 9

Explanation:

Tortoise travels an additional distance 580 m .

Since there is no acceleration, the distance traveled by any object is d = v t , where v is the total distance and t is the total time taken.

Speed of hare = = 9 m/s

Speed of tortoise = =5 m/s

Distance traveled by the hare = d = 9

Distance traveled by tortoise = d +580 m = 5

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