An object is moving at a speed of 3 kilometers every 9.5 years. Express this speed in centimeters per hour. Round your answer to the nearest hundredth.

Question

*Note: you must use these exact conversion factors to get this question right.
Distance / length Time
1 foot left parenthesis, ft, right parenthesis(ft) = 12 inches left parenthesis, in, right parenthesis(in) 1 minute left parenthesis, min, right parenthesis(min) = 60 seconds left parenthesis, sec, right parenthesis(sec)
1 yard left parenthesis, yd, right parenthesis(yd) = 3 feet left parenthesis, ft, right parenthesis(ft) 1 hour left parenthesis, hr, right parenthesis(hr) = 60 minutes left parenthesis, min, right parenthesis(min)
1 mile left parenthesis, mi, right parenthesis(mi) = 5280 feet left parenthesis, ft, right parenthesis(ft) 1 day left parenthesis, day, right parenthesis(day) = 24 hours left parenthesis, hr, right parenthesis(hr)
1 meter left parenthesis, m, right parenthesis(m) = 100 centimeters left parenthesis, cm, right parenthesis(cm) 1 week left parenthesis, week, right parenthesis(week) = 7 days left parenthesis, days, right parenthesis(days)
1 kilometer left parenthesis, km, right parenthesis(km) = 1000 meters left parenthesis, m, right parenthesis(m) 1 month left parenthesis, month, right parenthesis(month) = 30 days left parenthesis, days, right parenthesis(days)
1 inch left parenthesis, in, right parenthesis(in) = 2.54 centimeters left parenthesis, cm, right parenthesis(cm) 1 year left parenthesis, year, right parenthesis(year) = 365 days left parenthesis, days, right parenthesis(days)
1 foot left parenthesis, ft, right parenthesis(ft) = 0.305 meters left parenthesis, m, right parenthesis(m)
1 mile left parenthesis, mi, right parenthesis(mi) = 1.609 kilometers left parenthesis, km, right parenthesis(km)
Answer
Attempt 1 out of 2

centimeters per hour centimeters per hour

Answer 1

To convert the speed of 3 kilometers over 9.5 years to centimeters per hour, we will follow these steps:

1. Convert kilometers to centimeters:

   • We know that: \[ 1 \text{ km} = 1000 \text{ m} = 1000 \times 100 \text{ cm} = 100000 \text{ cm} \]
   • Therefore, \(3 \text{ km} = 3 \times 100000 \text{ cm} = 300000 \text{ cm}\).

2. Convert years to hours:

   • We know that: \[ 1 \text{ year} = 365 \text{ days} = 365 \times 24 \text{ hours} = 8760 \text{ hours} \]
   • Therefore, \(9.5 \text{ years} = 9.5 \times 8760 \text{ hours} = 83220 \text{ hours}\).

3. Calculate the speed in centimeters per hour:

   • The speed is given by: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{300000 \text{ cm}}{83220 \text{ hr}} \]
   • To perform the division: \[ \frac{300000}{83220} \approx 3.60564 \text{ cm/hr} \]

4. Round to the nearest hundredth:

   • Rounding \(3.60564\) to the nearest hundredth gives us:
   • 3.61 cm/hr.

Thus, the final answer is 3.61 centimeters per hour.