An asteroid is heading toward Mars at the rate of 7.7 * 104 mi./hr. If the asteroid is 3.311 x 10" miles away from Mars, how many hours will it be before it hits Mars?
To find the number of hours before the asteroid hits Mars, we need to divide its distance by its velocity.
Distance = 3.311 x 10^7 miles
Velocity = 7.7 * 10^4 miles/hour
Number of hours = Distance / Velocity
Number of hours = (3.311 x 10^7) / (7.7 * 10^4)
Number of hours = (3.311 / 7.7) * (10^7 / 10^4) [Using the properties of exponents]
Number of hours = (0.4292) * (10^7-4)
Number of hours = 0.4292 * 10^3
Number of hours = 429.2
Therefore, it will take approximately 429.2 hours before the asteroid hits Mars.
To find the number of hours it will take for the asteroid to hit Mars, we can use the formula:
Time = Distance / Speed
Given:
Distance = 3.311 x 10^6 miles (the distance between the asteroid and Mars)
Speed = 7.7 x 10^4 mi./hr (the rate at which the asteroid is heading toward Mars)
Plugging in the values into the formula, we get:
Time = (3.311 x 10^6 miles) / (7.7 x 10^4 mi./hr)
To simplify the calculation, we can divide the numerator and denominator by 10^4:
Time = (3.311 x 10^2 miles) / (7.7 x 10^0 hr)
Dividing the coefficients and subtracting the exponents, we get:
Time = 42.948 / 7.7 hr
Rounding to the nearest hour, we get:
Time ≈ 5.579 hr
Therefore, it will take approximately 5.579 hours for the asteroid to hit Mars.
To calculate the time it takes for an asteroid to hit Mars, we can use the formula: time = distance / speed.
In this case, the distance is given as 3.311 x 10^7 miles and the speed is given as 7.7 x 10^4 mi/hr.
To calculate the time, we divide the distance by the speed:
time = (3.311 x 10^7 miles) / (7.7 x 10^4 mi/hr)
To perform this calculation, we need to multiply the numerator and the denominator by 10^4 to adjust the units:
time = (3.311 x 10^7 miles) / (7.7 x 10^4 mi/hr) * (10^4 mi/hr) / (10^4 mi/hr)
Now, we can simplify the calculation:
time = (3.311 x 10^11 mi) / (7.7 x 10^8 mi/hr)
Divide the coefficient in the numerator (3.311) by the coefficient in the denominator (7.7):
time = (3.311 / 7.7) x (10^11 mi / 10^8 mi/hr)
Simplify the exponents:
time = 0.4290 x 10^3 hr
Finally, we convert the scientific notation to standard notation:
time = 429.0 hours
Therefore, it will take approximately 429 hours for the asteroid to hit Mars.