Question

A roller coaster, at its top speed, moves at 75 miles per hour. How many feet per second is
it moving at this speed?

Answer 1

To convert miles per hour (mph) to feet per second (ft/s), you can use the following conversion factors:

1 mile = 5280 feet
1 hour = 3600 seconds

To convert 75 mph to ft/s:

\[
75 \text{ mph} = 75 \times \frac{5280 \text{ feet}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}}
\]

Calculating this:

\[
75 \times \frac{5280}{3600} \text{ ft/s}
\]

Calculating \( \frac{5280}{3600} \):

\[
\frac{5280}{3600} = 1.4667 \quad (\text{approximately})
\]

Now, multiplying by 75:

\[
75 \times 1.4667 \approx 110.005 \text{ ft/s}
\]

Thus, the roller coaster is moving at approximately **110 feet per second** at its top speed.