Question

A tortoise 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).

Answer 1

Distance traveled by the hare = d = 9
`t_(t)`

Step-by-step 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 =
`v_(h)` = 9 m/s

Speed of tortoise =
`v_(t)` =5 m/s

Distance traveled by the hare = d = 9
`t_(t)`

Distance traveled by tortoise = d +580 m = 5
`t_(t)`