An astroid is heading toward mars at the rate of 7.7 times 10^4 mi./hr. if the astroid is 3.311 times 10^8 miles away from mars how many hours will it be before it hits mars
To calculate the time it will take for the asteroid to hit Mars, we can use the formula distance = rate x time.
Given:
Rate = 7.7 x 10^4 mi/hr
Distance = 3.311 x 10^8 miles
Let's solve for time:
3.311 x 10^8 miles = (7.7 x 10^4 mi/hr) x time
To solve for time, divide both sides of the equation by the rate:
time = (3.311 x 10^8 miles) / (7.7 x 10^4 mi/hr)
Simplifying this expression:
time = (3.311 / 7.7) x (10^8 / 10^4) hours
time = 0.429 x 10^4 hours
time = 4.29 x 10^3 hours
Therefore, it will take approximately 4.29 x 10^3 hours for the asteroid to hit Mars.
To find 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 moving.
Distance = 3.311 * 10^8 miles
Rate = 7.7 * 10^4 mi./hr
Time = Distance / Rate
Time = (3.311 * 10^8 miles) / (7.7 * 10^4 mi./hr)
To divide these numbers, we can subtract the exponents:
Time = (3.311 / 7.7) * 10^(8 - 4) hours
Time = 0.429 * 10^4 hours
Since 10^4 = 10,000, we can substitute this value:
Time = 0.429 * 10,000 hours
Time = 4,290.0 hours
Therefore, it will take approximately 4,290 hours for the asteroid to hit Mars.
To find out how many hours it will be before the asteroid hits Mars, we need to use the formula:
Time = Distance / Rate
First, let's convert the distance to miles to match the rate unit. The distance of the asteroid from Mars is given as 3.311 times 10^8 miles.
Now we can substitute the values into the formula:
Time = (3.311 * 10^8 miles) / (7.7 * 10^4 mi./hr)
To divide these values, we can use the rule of exponents by subtracting the exponents of 10:
Time = 3.311 * 10^((8-4) - 4) miles / mi./hr
Simplifying further:
Time = 3.311 * 10^0 miles / mi./hr
Time = 3.311 miles / mi./hr
Now, we can divide the distance in miles by the rate in miles per hour:
Time = 3.311 miles / (7.7 mi./hr)
Dividing these values, we get:
Time ≈ 0.4304 hours
Therefore, it will be approximately 0.4304 hours or about 25.8224 minutes before the asteroid hits Mars.