Question

What is the speed of a snail moving at a rate of 3 inches per minute in [m/s]? Recall that 1 [m] = 39 [in]. Round to the nearest ten thousandth (4 places after the decimal).

Answer 1

0.0013 m/s

Step-by-step explanation:

Speed in inches per minute = 3 inches per minute

Speed in m/s =?

Next, we shall convert 3 inches per minute (3 in/min) to metre per minute.(m/min)

39 in/min = 1 m/min

Therefore,

3 in/min = 3 in/min × 1 m/min / 39 in/min

3 in/min = 1/13 m/min

Finally, we shall convert 1/13 m/min to m/s. This can be obtained as follow:

1 m/min = 1/60 m/s

Therefore,

1/13 m/min = 1/13 m/min × 1/60 m/s / 1 m/min

1/13 m/min = 1/780 m/s

1/13 m/min = 0.0013 m/s

Thus, 3 in/min is equivalent to 0.0013 m/s.

Therefore the speed of the snail in m/s is 0.0013 m/s