An asteroid is heading toward Mars at the 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? Write the answer in scientific notation, expressed to the exact decimal place.
To find the time 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./hr.
Time = Distance / Speed
Time = 3.311×10^8 miles / (7.7×10^4 mi./hr)
To divide the numbers in scientific notation, we subtract the exponents:
Time = 3.311×10^(8-4) miles / hr
Time = 3.311×10^4 miles / hr
Therefore, it will take approximately 3.311×10^4 hours for the asteroid to hit Mars.
To find the number of hours it will take for the asteroid to hit Mars, we can divide the distance between the asteroid and Mars by the rate at which the asteroid is traveling.
Distance = 3.311 × 10^8 miles
Rate = 7.7 × 10^4 mi./hr
To calculate the time it will take for the asteroid to hit Mars, we divide the distance by the rate as follows:
Time = Distance / Rate
Time = (3.311 × 10^8 miles) / (7.7 × 10^4 mi./hr)
To divide the numbers with exponents, subtract the exponent of the divisor from the exponent of the dividend:
Time = (3.311 / 7.7) × (10^8 / 10^4)
Simplifying the exponents, we get:
Time = 0.429 × 10^4
To express the answer in scientific notation to the exact decimal place, we write:
Time = 4.29 × 10^3 hours
Therefore, it will take approximately 4.29 × 10^3 hours for the asteroid to hit Mars.
To find out how many hours it will be before the asteroid hits Mars, we can use the formula:
Time = Distance / Rate
In this case, the distance is given as 3.311×10^8 miles and the rate is given as 7.7×10^4 mi./hr.
First, let's convert the distance and the rate to standard notation:
Distance = 3.311×10^8 miles = 331,100,000 miles
Rate = 7.7×10^4 mi./hr = 77,000 miles/hr
Now we can substitute these values into the formula:
Time = 331,100,000 miles / 77,000 miles/hr
Performing the division, we get:
Time = 4,300.6494 hours
Since we need the answer in scientific notation, expressed to the exact decimal place, we can write the result as:
Time = 4.3006494×10^3 hours