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 time it will take for the asteroid to hit Mars, we need to divide the distance by the speed.
Distance = 3.311×10^8 miles
Speed = 7.7×10^4 mi./hr
Time = Distance / Speed = (3.311×10^8) / (7.7×10^4) = 4.29805195 × 10^3 hours
The time it will take for the asteroid to hit Mars is approximately 4.298 × 10^3 hours.
answer
The time it will take for the asteroid to hit Mars is approximately 4.298 × 10^3 hours.
To find the number of hours it will take for the asteroid to hit Mars, we need to divide the distance to be covered by the speed of the asteroid.
Distance = 3.311×10^8 miles
Speed = 7.7×10^4 mi./hr
To calculate the time, we use the formula:
Time = Distance / Speed
Substituting the given values:
Time = (3.311×10^8 miles) / (7.7×10^4 mi./hr)
Now, to divide these numbers written in scientific notation, we subtract the powers of 10:
Time = 3.311×(10^8) / 7.7×(10^4)
Next, divide the numerical coefficients:
Time = (3.311 / 7.7) × (10^8 / 10^4)
Performing the division:
Time = 0.42909 × 10^(8-4) = 0.42909 × 10^4
Finally, converting to scientific notation:
Time = 4.2909×10^3 hours
Therefore, it will take approximately 4.2909 × 10^3 hours (or 4290.9 hours) for the asteroid to hit Mars.