In Ashford is heading towards Mars at a 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 right to answer and scientific notation expressed to the exact decimal place
To find the time it will take for the asteroid to reach Mars, we need to divide the distance to Mars by the speed of Ashford:
Time = Distance / Speed
Time = (3.311 * 10^8 miles) / (7.7 * 10^4 mi./hr)
When dividing numbers written in scientific notation, we subtract the exponents:
Time = 3.311 * 10^(8-4) / 7.7
Time = 3.311 * 10^4 / 7.7
Now, dividing the numerical values:
Time = 429.7402
We can express this answer in scientific notation:
Time = 4.297402 * 10^2 hours
Therefore, it will take approximately 4.297402 * 10^2 hours for the asteroid to hit Mars.
To calculate the time it takes for Ashford to reach Mars, we can use the following formula:
Time = Distance / Speed
First, let's convert the given values in scientific notation to decimal notation:
Speed of Ashford = 7.7 * 10^4 mi./hr = 77,000 mi./hr
Distance to Mars = 3.311 * 10^8 miles = 331,100,000 miles
Now, let's substitute these values into the formula:
Time = 331,100,000 miles / 77,000 mi./hr
To simplify, divide the distance by the speed:
Time = 4,300.39 hours
So, it will take approximately 4,300.39 hours for Ashford to hit Mars.
In scientific notation with the exact decimal place, it can be expressed as:
Time = 4.30039 * 10^3 hours
To calculate the time it takes for Ashford to hit Mars, we can use the formula:
Time = Distance / Speed
Given:
Distance = 3.311 * 10^8 miles
Speed = 7.7 * 10^4 mi./hr
Now, let's substitute the values into the formula and calculate it step-by-step:
Distance = 3.311 * 10^8 miles
Speed = 7.7 * 10^4 mi./hr
Time = Distance / Speed
Time = (3.311 * 10^8 miles) / (7.7 * 10^4 mi./hr)
Simplifying, we can divide the numbers and subtract the exponents:
Time = (3.311 / 7.7) * (10^8 / 10^4) hours
Calculating, we get:
Time = 0.429481 * 10^4 hours
Converting the scientific notation to a decimal:
Time = 0.429481 * 10,000 hours
Time = 4,294.81 hours
Therefore, it will take approximately 4,294.81 hours for Ashford to hit Mars.