An asteroid is heading toward Mars at the rate of 7.7 * 10 ^ 4 * mi / h * r 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. (1 point)
hours
To find the number of hours it will take for the asteroid to hit Mars, we need to divide the distance to Mars by the speed of the asteroid.
Distance to Mars = 3.311 * 10^8 miles
Speed of the asteroid = 7.7 * 10^4 mi/h
To perform the calculation, we need to divide the distance by the speed:
Time = Distance / Speed
Substituting the given values:
Time = (3.311 * 10^8 miles) / (7.7 * 10^4 mi/h)
To divide two numbers in scientific notation, we subtract the exponent of the divisor from the exponent of the dividend, then divide the coefficients:
Time = (3.311 / 7.7) * 10^(8 - 4)
Calculating the division:
Time = 0.429 + 10^4
Therefore, it will take approximately 0.429 * 10^4 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:
Distance = 3.311 * 10^8 miles
Rate = 7.7 * 10^4 mi/h
Calculating the time:
Time = (3.311 * 10^8) / (7.7 * 10^4)
= (3.311 / 7.7) * (10^8 / 10^4)
= 0.4292 * 10^4
= 4.292 * 10^3
Therefore, it will take approximately 4.292 * 10^3 hours for the asteroid to hit Mars.
To calculate the time it will take for the asteroid to hit Mars, we need to divide the distance between the asteroid and Mars by the rate at which the asteroid is traveling.
Given:
Distance = 3.311 * 10^8 miles
Rate = 7.7 * 10^4 mi/h
To solve for time (hours), we can use the formula: Time (hours) = Distance / Rate.
Plugging in the values:
Time (hours) = 3.311 * 10^8 miles / (7.7 * 10^4 mi/h)
When dividing values in scientific notation, we subtract the exponents and divide the coefficients:
Time (hours) = (3.311 / 7.7) * 10^(8 - 4) miles / mi/h
Now, let's calculate it:
Time (hours) = 0.429483 * 10^4
To express it in scientific notation to the exact decimal place, we need to move the decimal point one place to the right:
Time (hours) = 4.29483 * 10^3
Therefore, the asteroid will hit Mars in approximately 4.29483 * 10^3 hours.