Let's solve both questions from the image:

(e) Converting 0.03 mph (miles per hour) to m/s (meters per second):

1 mile = 1609.34 meters
1 hour = 3600 seconds

To convert 0.03 mph to m/s, we use the conversion factor:

$0.03 \, \text{mph} \times \frac{1609.34 \, \text{meters}}{1 \, \text{mile}} \times \frac{1 \, \text{hour}}{3600 \, \text{seconds}} = \text{speed in m/s}$

Now let's calculate this.

(f) Converting the speed of a banana slug:

Given:

• Distance = 6.5 inches
• Time = 120 minutes

We need to convert the speed to km/h.

1 inch = 0.0254 meters, and 1 kilometer = 1000 meters.
1 minute = 1/60 hours.

First, convert 6.5 inches to meters:

$6.5 \, \text{inches} \times 0.0254 \, \text{meters/inch}$

Then, divide by time in hours:

$\text{Speed in m/s} = \frac{6.5 \times 0.0254}{120 / 60}$

Finally, convert to km/h by multiplying by 3.6.

Let me calculate these values.Here are the solutions:

(e) The average speed of the garden snail is approximately 0.0134 m/s.

(f) The speed of the banana slug is approximately 0.297 km/h.

Would you like further details or explanations?

Here are 5 related questions to explore:

1. How can you convert m/s to km/h in other contexts?
2. What are the steps to convert between other units, such as feet per second to meters per second?
3. How would you handle time conversions between hours, minutes, and seconds in complex problems?
4. What other examples of speed conversions could you practice?
5. Can you use dimensional analysis to simplify unit conversions?

Tip: Always ensure that both distance and time units are converted consistently before performing calculations.