An asteroid is heading toward Mars at the rate of 7.7×104 mi./hr. If the asteroid is 3.311×108 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 point)
hours
To find how many hours it will take for the asteroid to hit Mars, we can divide the distance between the asteroid and Mars by the speed at which the asteroid is traveling:
Time = Distance / Speed
Time = 3.311×10^8 miles / 7.7×10^4 mi./hr
Dividing the numbers:
Time = (3.311 / 7.7) * (10^8 / 10^4)
Simplifying:
Time = 0.4298961 * (10^8 / 10^4)
Time = 0.4298961 * 10^(8-4)
Time = 0.4298961 * 10^4
Time = 4.298961 * 10^3
Therefore, it will take approximately 4.298961 * 10^3 hours for the asteroid to hit Mars.