Consider the formula that relates distance, velocity, and time (d=vt) . If you are interested in 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, which unit conversion makes the most sense to use?
To calculate the time it takes for the ladybug to crawl up a 10-foot section of wall, we need to use consistent units for distance and velocity. Since the velocity is given in inches per second and the 10-foot section of wall is given in feet, we will need to convert the distance to inches or the velocity to feet per second.
The unit conversion that makes the most sense to use in this case is converting the distance from feet to inches. This is because the velocity is already given in inches per second, so converting the distance to inches will allow us to use the same unit for both distance and velocity in the formula.
To convert the 10-foot section of wall to inches, we can use the fact that 1 foot is equal to 12 inches. Therefore, 10 feet is equal to 10 x 12 = 120 inches.
By using inches for both distance and velocity, we can solve the formula d = vt as follows:
Distance (d) = 120 inches
Velocity (v) = 3 inches per second
Time (t) = Distance (d) / Velocity (v) = 120 inches / 3 inches per second = 40 seconds.
Therefore, it would make the most sense to convert the distance from feet to inches in this case.
To find the time it takes for the ladybug to crawl up the wall, we need to convert the units so that they are consistent.
First, let's convert the distance from feet to inches:
10 feet * 12 inches/foot = 120 inches
Now, we can use the formula d=vt to solve for time. We know the distance is 120 inches and the velocity is 3 inches per second:
t = d/v
t = 120 inches / 3 inches per second
t = 40 seconds
Therefore, the most sensible unit conversion to use in this case is from feet to inches.
To find the time it takes for the ladybug to crawl up a 10-foot section of wall, we can use the formula d = vt, where d is the distance, v is the velocity, and t is the time.
First, we need to convert the given distance from feet to inches, as the velocity is given in inches per second. Since there are 12 inches in a foot, we can multiply the given distance of 10 feet by 12 to convert it to inches:
Distance = 10 feet × 12 inches/foot = 120 inches
Now we can rearrange the formula d = vt to solve for time:
t = d / v
Substituting the given values, we have:
t = 120 inches / 3 inches/second = 40 seconds
Therefore, it will take the ladybug 40 seconds to crawl up the 10-foot section of the wall.
In this case, the unit conversion from feet to inches made the most sense to use because the velocity was given in inches per second. Converting the distance to the same unit (inches) allows us to use the given velocity in the formula and obtain the time in seconds.