To find the number of hours it will take for the asteroid to hit Mars, we can use the formula:
Time = Distance / Rate
Given:
Distance (d) = 3.311x10^8 miles
Rate (r) = 7.7x10^4 mi./hr
Plugging in the values into the formula, we get:
Time = (3.311x10^8 miles) / (7.7x10^4 mi./hr)
To divide the distances and rates, we subtract the exponents of the denominator from the exponent of the numerator:
Time = (3.311/7.7) * (10^8 / 10^4) miles/hr
Simplifying further, we have:
Time = 0.429481 * (10^8-4) miles/hr
Time = 0.429481 * 10^4 miles/hr
Converting scientific notation to decimal notation, we get:
Time = 0.429481 * 10000 miles/hr
Time = 4294.81 miles/hr
Thus, it will take approximately 4294.81 hours for the asteroid to hit Mars.
Expressed in scientific notation, it will be:
Time = 4.29481x10^3 hours.
An asteroid is heading towards Mars at the rate of 7.7x10 to the power of 4 mi./hr. If the asteroid is 3.311x10 to the power of 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.
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