Question
a bear traveler 25.0m away from its den in 125 seconds. how long did it take the bear to travel 25.0’?
Answers
GPT-4o mini
To find out how long it took the bear to travel 25.0 feet, we first need to convert the distance from feet to meters because the original information is given in meters.
1 meter is approximately 3.28084 feet. Therefore, to convert 25.0 feet to meters:
\[
25.0 \text{ feet} \times \frac{1 \text{ meter}}{3.28084 \text{ feet}} \approx 7.62 \text{ meters}
\]
Now, we know the bear traveled 25.0 meters in 125 seconds. The speed of the bear can be calculated as follows:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{25.0 \text{ m}}{125 \text{ s}} = 0.2 \text{ m/s}
\]
Now, we want to find out how long it takes to travel 7.62 meters at this speed. We can rearrange the speed formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{7.62 \text{ m}}{0.2 \text{ m/s}} = 38.1 \text{ seconds}
\]
Thus, it took the bear approximately **38.1 seconds** to travel 25.0 feet.
1 meter is approximately 3.28084 feet. Therefore, to convert 25.0 feet to meters:
\[
25.0 \text{ feet} \times \frac{1 \text{ meter}}{3.28084 \text{ feet}} \approx 7.62 \text{ meters}
\]
Now, we know the bear traveled 25.0 meters in 125 seconds. The speed of the bear can be calculated as follows:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{25.0 \text{ m}}{125 \text{ s}} = 0.2 \text{ m/s}
\]
Now, we want to find out how long it takes to travel 7.62 meters at this speed. We can rearrange the speed formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{7.62 \text{ m}}{0.2 \text{ m/s}} = 38.1 \text{ seconds}
\]
Thus, it took the bear approximately **38.1 seconds** to travel 25.0 feet.