An asteroid is heading toward Mars at the rate of 7.7×10^4 mi./hr. If the asteroid is 3.311×10^8 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.
To find how many hours it will take for the asteroid to hit Mars, we need to divide the distance between the asteroid and Mars by the speed at which the asteroid is traveling.
Distance = 3.311×10^8 miles
Speed = 7.7×10^4 mi./hr
The time it will take for the asteroid to hit Mars can be calculated as follows:
Time = Distance / Speed
Time = (3.311×10^8 miles) / (7.7×10^4 mi./hr)
Dividing the numbers, we get:
Time = 4.2974025974 × 10^3 hrs
Therefore, it will take approximately 4.297 × 10^3 hours for the asteroid to hit Mars.
To find the number of hours it will take for the asteroid to hit Mars, we can use the formula:
Time = Distance / Rate
Given:
Rate = 7.7×10^4 mi./hr
Distance = 3.311×10^8 miles
Substituting the given values into the formula, we get:
Time = (3.311×10^8 miles) / (7.7×10^4 mi./hr)
To divide these two quantities, we can subtract the exponents and divide the coefficients:
Time = (3.311 / 7.7) × (10^8 / 10^4) hours
Simplifying further, we have:
Time = 0.4296103 × 10^4 hours
Since 0.4296103 is less than 1, we can convert it to scientific notation:
Time = 4.296103 × 10^3 hours
Therefore, it will take approximately 4.296103 × 10^3 hours for the asteroid to hit Mars.
To find the number of hours it will take for the asteroid to hit Mars, we need to divide the distance between the asteroid and Mars by the speed of the asteroid.
Given:
Distance between the asteroid and Mars = 3.311×10^8 miles
Speed of the asteroid = 7.7×10^4 mi./hr
To find the time it takes in hours, we divide the distance by the speed:
Time = Distance / Speed
Substituting the given values:
Time = (3.311×10^8 miles) / (7.7×10^4 mi./hr)
To divide two numbers in scientific notation, we divide the coefficients and subtract the exponents:
Time = (3.311 / 7.7) × 10^(8 - 4) hours
Time = 0.429 × 10^4 hours
To express the answer in scientific notation with the exact decimal place, we need to move the decimal point in the coefficient to the right until it is between 1 and 10:
0.429 × 10^4 hours = 4.29 × 10^3 hours
Therefore, it will take approximately 4.29 × 10^3 hours for the asteroid to hit Mars.