To calculate the time it takes for the asteroid to hit Mercury, we can use the formula:
Time = Distance / Speed
The distance from the asteroid to Mercury is 6.622 times 10^8 miles, and the speed of the asteroid is 15.4 times 10^4 mph.
Time = (6.622 times 10^8 miles) / (15.4 times 10^4 mph)
To divide these two values, we can divide the numbers and subtract the exponents:
Time = (6.622 / 15.4) times (10^8 / 10^4) miles / mph
Time = 0.429 times 10^4 miles / mph
Now, let's convert miles per hour to hours per mile by taking the reciprocal:
Time = 0.429 times 10^4 hours x mph / mile
Since the units should be hours, we need to multiply by a conversion factor of 1 mile / mph:
Time = 0.429 times 10^4 hours x (mile / mph) x (1 mph / mile)
Time = 0.429 times 10^4 hours
Expressing this in scientific notation, the answer is:
Time = 4.29 times 10^3 hours
An asteroid is heading towards Mercury at a rate of 15.4 times 10 to the 4th power mph. If the asteroid is 6.622 times 10 to the 8th power miles away from mercury ,how many hours will it be before it hits Mercury? Write the answer in scientific notation ,expressed to the exact decimal place.
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