Heather and Matthew walk eastward with a
speed of 0.78 m/s east.
If it takes them 29 min to walk to the store,
how far have they walked?
Answer in units of km
First, let's convert the speed from meters per second (m/s) to kilometers per hour (km/h). There are 3,600 seconds in an hour and 1,000 meters in a kilometer, so we can use the following conversion factor:
0.78 m/s * (3600 s/h) / (1000 m/km) = 2.808 km/h
Now, we can calculate the distance they have walked:
Distance = Speed * Time
Distance = 2.808 km/h * (29 min / 60 min/h) = 1.3526 km
Therefore, Heather and Matthew have walked approximately 1.3526 km.
To find the distance Heather and Matthew have walked, we need to consider their speed and the time taken.
Given that their speed is 0.78 m/s and the time taken is 29 minutes, we need to convert the time into seconds for consistency in units.
There are 60 seconds in a minute, so we calculate:
29 minutes * 60 seconds/minute = 1740 seconds.
Next, we can calculate the distance walked using the formula:
Distance = Speed * Time.
Plugging in the values:
Distance = 0.78 m/s * 1740 seconds.
To convert meters to kilometers, we divide by 1000, since there are 1000 meters in a kilometer:
Distance = (0.78 m/s * 1740 seconds) / 1000.
Calculating:
Distance = 1.3572 kilometers.
Therefore, Heather and Matthew have walked approximately 1.3572 kilometers to the store.