Answer :
To convert the train's speed from miles per hour (mph) to feet per second (ft/s), we can use the following steps:
1. Understand the conversion factors:
- 1 mile is equivalent to 5280 feet.
- 1 hour is equivalent to 3600 seconds.
2. Convert the speed:
- Start with the train's speed in miles per hour, which is 45 mph.
- To convert this speed to feet per second, multiply by the number of feet in a mile (5280) and then divide by the number of seconds in an hour (3600).
3. Calculate:
- Perform the multiplication and division:
[tex]\[
\text{Speed in ft/s} = 45 \times \frac{5280}{3600}
\][/tex]
4. Result:
- When you compute the above, the speed is found to be 66.0 ft/s.
Now, we can answer the question:
- Since the train's speed in feet per second is exactly 66.0 ft/s, the correct choice is b) Equal to 66 ft/s.
1. Understand the conversion factors:
- 1 mile is equivalent to 5280 feet.
- 1 hour is equivalent to 3600 seconds.
2. Convert the speed:
- Start with the train's speed in miles per hour, which is 45 mph.
- To convert this speed to feet per second, multiply by the number of feet in a mile (5280) and then divide by the number of seconds in an hour (3600).
3. Calculate:
- Perform the multiplication and division:
[tex]\[
\text{Speed in ft/s} = 45 \times \frac{5280}{3600}
\][/tex]
4. Result:
- When you compute the above, the speed is found to be 66.0 ft/s.
Now, we can answer the question:
- Since the train's speed in feet per second is exactly 66.0 ft/s, the correct choice is b) Equal to 66 ft/s.
