Question

A certain car going from Atlanta to Philadelphia averages 24.0 m/s over the course of the trip. Determine how long it takes the car to reach Philadelphia if 1,250 km away from atlanta by road. Report your answer in hours. (Be careful of units!)

Answer 1

Answer:

14.5 hours

Explanation:

The relationship between speed, time and distance for a uniform motion is

$v=\frac{d}{t}$

where

v is the speed

d is the distance

t is the time taken

Here we know:

v = 24.0 m/s is the average speed

$d=1250 km = 1.25\cdot 10^6 m$ is the distance

Solving the equation, we find the time taken:

$t=\frac{d}{v}=\frac{1.25\cdot 10^6 m}{24.0 m/s}=52083 s$

And since

1 hour = 3600 s

The time in hours is

$t=52083 s \cdot \frac{1}{3600 s}=14.5 h$