Question
An asteroid is heading toward Mars at the rate of 7.7×104 mi./hr. If the asteroid is 3.311×108 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 number of hours it will take for the asteroid to hit Mars, we can divide the distance to Mars by the rate at which the asteroid is traveling:
Time = Distance / Rate
Time = 3.311×108 miles / 7.7×104 mi./hr
Time ≈ 4.297×103 hours
Expressing this answer in scientific notation to the exact decimal place, the number of hours it will take for the asteroid to hit Mars is 4.297×10³ hours.
To find the time 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/hr
Substituting the given values into the formula:
Time = (3.311×10^8 miles) / (7.7×10^4 mi/hr)
To divide these numbers written in scientific notation, we subtract the exponents:
Time = (3.311 / 7.7) × 10^(8 - 4) miles / mi/hr
Time = 0.429 × 10^4 miles / mi/hr
Since 10^4 is equal to 10000, we can write the answer in scientific notation:
Time = 0.429 × 10^4 miles / mi/hr
= 0.429 × 10000 miles / mi/hr
= 4290 miles / mi/hr
Therefore, it will take 4290 hours before the asteroid hits Mars.
To calculate the time it will take for the asteroid to hit Mars, we can use the formula:
Time = Distance / Speed
Given that the distance is 3.311x10^8 miles and the speed is 7.7x10^4 mi./hr, we can substitute these values into the formula:
Time = 3.311x10^8 miles / 7.7x10^4 mi./hr
To simplify this division, we divide the numbers and subtract the exponents of 10:
Time = (3.311 / 7.7) x 10^(8 - 4)
Calculating the division part, we get:
Time ≈ 0.429 x 10^4 (since 3.311 / 7.7 ≈ 0.429)
Therefore, the time it will take for the asteroid to hit Mars is approximately 0.429 x 10^4 hours.