And asteroid is heading towards Meyers at the rate of 7.7 X 10^4 mi./hr. If the asteroid is 3.311 X 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 calculate the time it will take for the asteroid to hit Mars, we can divide the distance between Mars and the asteroid (3.311 X 10^8 miles) by the rate at which the asteroid is approaching Meyers (7.7 X 10^4 mi./hr):
(3.311 X 10^8 miles) / (7.7 X 10^4 mi./hr)
To divide numbers in scientific notation, we subtract the exponents of the same base and divide the coefficients:
(3.311 / 7.7) X 10^(8 - 4) = 0.4298701 X 10^4
Simplifying the coefficient to one decimal place, we get:
0.4 X 10^4 hours
Therefore, it will take approximately 0.4 X 10^4 hours for the asteroid to hit Mars.
To determine 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.
Given:
Speed of the asteroid = 7.7 x 10^4 mi/hr.
Distance to Mars = 3.311 x 10^8 miles.
To calculate the time it takes, we use the formula:
Time = Distance / Speed
Time = (3.311 x 10^8) / (7.7 x 10^4)
To divide these exponential numbers, we subtract the exponents:
Time = 3.311 x 10^(8-4) / 7.7
Simplifying the expression further:
Time = 3.311 x 10^4 / 7.7
Dividing 3.311 by 7.7 gives approximately 0.42883117.
Resolving this into scientific notation:
Time = 4.2883117 x 10^(-1+4)
Thus, in scientific notation, it will take approximately 4.2883117 x 10^3 hours before the asteroid hits Mars.
To calculate the time it will take for the asteroid to hit Mars, we need to divide the distance between Mars and the asteroid by the speed of the asteroid.
Given:
Distance to Mars from the asteroid = 3.311 X 10^8 miles
Speed of the asteroid = 7.7 X 10^4 mi./hr
To find the time, we use the formula:
Time = Distance / Speed
Plugging in the given values:
Time = (3.311 X 10^8 miles) / (7.7 X 10^4 mi./hr)
To divide these values, we can simplify the calculation by dividing the coefficients and subtracting the exponents:
Time = (3.311 / 7.7) X 10^(8 - 4) miles / (mi./hr)
Calculating the coefficient:
3.311 / 7.7 = 0.429610
Calculating the exponent:
8 - 4 = 4
Therefore, the time it will take for the asteroid to hit Mars is 0.429610 X 10^4 hours.
In scientific notation, this can be expressed as 4.2961 X 10^3 hours.