And asteroid is heading towards Meyers at the rate of 7.7 X 10^4 mi./hr. If the asteroid is 3.311 X 10^8 miles away from Mars. How many hours will it be before it hits Mars? Write the answer in scientific notation, expressed to the exact decimal place.

1 answer

To calculate the time it will take for the asteroid to hit Mars, we can divide the distance between Mars and the asteroid (3.311 X 10^8 miles) by the rate at which the asteroid is approaching Meyers (7.7 X 10^4 mi./hr):

(3.311 X 10^8 miles) / (7.7 X 10^4 mi./hr)

To divide numbers in scientific notation, we subtract the exponents of the same base and divide the coefficients:

(3.311 / 7.7) X 10^(8 - 4) = 0.4298701 X 10^4

Simplifying the coefficient to one decimal place, we get:

0.4 X 10^4 hours

Therefore, it will take approximately 0.4 X 10^4 hours for the asteroid to hit Mars.