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 )
To find the time it takes for the asteroid to hit Mars, we can use the formula: time = distance / speed.
Given:
Distance = 3.311 * 10^8 miles
Speed = 7.7 * 10^4 mi/h
Substituting the values into the formula, we get:
time = 3.311 * 10^8 miles / (7.7 * 10^4 mi/h)
To divide the two numbers in scientific notation, we subtract the exponents of 10 and divide the coefficients:
time = (3.311 / 7.7) * 10^(8 - 4)
Simplifying the calculation, we get:
time = 0.4290 * 10^4
Therefore, it will take 0.4290 * 10^4 hours for the asteroid to hit Mars.
To calculate the time it will take for the asteroid to reach Mars, we can use the formula:
time = distance / speed
Given:
Distance = 3.311 * 10^8 miles
Speed = 7.7 * 10^4 mi/h
Plugging the values into the formula:
time = 3.311 * 10^8 miles / (7.7 * 10^4 mi/h)
To divide these numbers in scientific notation, we subtract the exponents:
time = (3.311 / 7.7) * (10^8 / 10^4) miles/h
Simplifying:
time = 0.4296103896 * 10^(8-4) miles/h
time = 0.4296103896 * 10^4 miles/h
Multiplying the coefficient by 10^4:
time = 4.296103896 * 10^4 miles/h
The time it will take for the asteroid to reach Mars is approximately 4.296 * 10^4 hours.
To calculate the time it takes for the asteroid to hit Mars, we can divide the distance by the rate of its approach.
Distance = 3.311 * 10^8 miles
Rate = 7.7 * 10^4 mi/h
Time = Distance / Rate
Plugging in the values, we get:
Time = (3.311 * 10^8 miles) / (7.7 * 10^4 mi/h)
Dividing the coefficients and subtracting the exponents, we have:
Time = (3.311 / 7.7) * 10^(8 - 4)
Simplifying the fraction, we get:
Time ≈ 0.429 * 10^4
Expressing it in scientific notation, we have:
Time ≈ 4.29 * 10^3 hours