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.(1 point)
To find the number of hours it will take for the asteroid to hit Mars, we need to divide the distance by the rate.
distance = 3.311*10^8 miles
rate = 7.7*10^4 miles/hr
The equation to find the time is:
time = distance / rate
Plugging in the values, we have:
time = (3.311*10^8 miles) / (7.7*10^4 miles/hr)
The units of miles cancel out, leaving us with hours as the unit for time.
time = (3.311 / 7.7) * (10^8 / 10^4) hours
Simplifying the exponent terms:
time = (3.311 / 7.7) * 10^(8 - 4) hours
time = (3.311 / 7.7) * 10^4 hours
To express the answer in scientific notation, we write it as:
time = 0.429*10^4 hours
Therefore, it will take approximately 0.429*10^4 hours for the asteroid to hit Mars.
To calculate the time it will take for the asteroid to hit Mars, we can use the formula:
time = distance / rate
Given:
Rate = 7.7 * 10^4 mi./hr
Distance = 3.311 * 10^8 miles
Substituting the values into the formula, we get:
time = (3.311 * 10^8 miles) / (7.7 * 10^4 mi./hr)
To divide with numbers in scientific notation, we will subtract the exponents:
time = (3.311 / 7.7) * (10^8 / 10^4) miles/hr
Simplifying the expression, we get:
time = 0.4298701 * 10^8 miles/hr
Now we will express the result in scientific notation by converting it to a single digit before the decimal point and adjusting the exponent:
time = 4.298701 * 10^7 miles/hr
Therefore, it will take approximately 4.298701 * 10^7 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 Mars and the asteroid by the speed at which the asteroid is traveling.
Distance = 3.311 * 10^8 miles
Speed = 7.7 * 10^4 mi./hr
Dividing the distance by the speed gives us:
Time = Distance / Speed
Time = (3.311 * 10^8) / (7.7 * 10^4)
To divide these numbers, we can subtract the exponents and divide the coefficients:
Time = 3.311 / 7.7 * 10^(8 - 4)
Time = 0.42961 * 10^4
However, we need to express the answer in scientific notation, so we need to move the decimal point one place to the right:
Time = 4.2961 * 10^3
Therefore, it will take approximately 4.2961 * 10^3 hours for the asteroid to hit Mars.