Question

Consider the formula that relates distance velocity in time (d=vt) if you’re interested in the time it takes for a ladybug traveling at a speed of 3 in./s to crawl up a 10 foot section of wall, which unit conversion makes the most sense to use

Answer 1

To find the time it takes for a ladybug traveling at a speed of 3 inches per second to crawl up a 10-foot section of wall, you need to ensure that both measurements are in the same unit.

Since the ladybug's speed is given in inches per second (in/s), it makes sense to convert the height of the wall from feet to inches.

1 foot is equal to 12 inches, so:

\[
10 \text{ feet} = 10 \times 12 = 120 \text{ inches}
\]

Now you can use the formula \( d = vt \) to find the time \( t \):

\[
t = \frac{d}{v} = \frac{120 \text{ inches}}{3 \text{ inches/second}} = 40 \text{ seconds}
\]

Thus, it makes the most sense to convert the height from feet to inches before performing the calculations.