Final answer:
The black mamba will take approximately 8.52 seconds to catch the animal running at 8 miles per hour, which is equivalent to 11.73 feet per second.
Step-by-step explanation:
To calculate the amount of time it takes for the black mamba to catch the running animal, we need to convert the speed of the animal from miles per hour to feet per second. One mile is equivalent to 5280 feet, and one hour is equivalent to 3600 seconds. Therefore, the animal is running at a speed of 8 miles per hour * (5280 feet/1 mile) * (1 hour/3600 seconds) = 11.73 feet per second.
Given that the black mamba is 100 feet away, the time it takes for the mamba to catch the animal can be calculated using the equation time = distance/speed. Substituting the distance and speed values, we have time = 100 feet / 11.73 feet per second = 8.52 seconds.
Therefore, it will take approximately 8.52 seconds for the black mamba to catch the animal.