Math Snap

STEP 1

1. The cyclist's speed is given as $18$ miles per hour.
2. We need to convert this speed into feet per second.
3. Use the conversion $1 \text{ mile} = 5280 \text{ feet}$.
4. We need to calculate the distance traveled in $5$ seconds.

STEP 2

1. Convert miles per hour to feet per hour.
2. Convert feet per hour to feet per second.
3. Calculate the distance traveled in 5 seconds.

STEP 3

Convert the speed from miles per hour to feet per hour using the conversion factor $1 \text{ mile} = 5280 \text{ feet}$.
$$18 \text{ miles per hour} \times 5280 \text{ feet per mile} = 95040 \text{ feet per hour}$$

STEP 4

Convert feet per hour to feet per second by dividing by the number of seconds in an hour ($3600$ seconds).
$$\frac{95040 \text{ feet per hour}}{3600 \text{ seconds per hour}} = 26.4 \text{ feet per second}$$

Calculate the distance traveled in 5 seconds by multiplying the speed in feet per second by the time in seconds.
$$26.4 \text{ feet per second} \times 5 \text{ seconds} = 132 \text{ feet}$$ The cyclist's speed in feet per second is:
$$\boxed{26.4 \text{ feet per second}}$$ The distance traveled in 5 seconds is:
$$\boxed{132 \text{ feet}}$$