during the first seconds after takeoff a rocket traveled 208 kilometers in 50 minutes at a constant rate. Suppose a penny is dropped from a skyscraper and could travel 153 kilometers in 1/2 hour at a constant rate, which of these ofjects has a faster unit rate per hour

To find which object (the rocket or the penny) has a faster unit rate per hour, we need to calculate the speed of each object in **kilometers per hour (km/h)**.

### Rocket:
The rocket traveled 208 kilometers in 50 minutes. First, we need to convert 50 minutes to hours:

\[
50 \, \text{minutes} = \frac{50}{60} = \frac{5}{6} \, \text{hours}
\]

Now, calculate the rocket's speed in kilometers per hour by dividing the distance by the time:

\[
\text{Rocket's speed} = \frac{208 \, \text{km}}{\frac{5}{6} \, \text{hours}} = 208 \times \frac{6}{5} = 249.6 \, \text{km/h}
\]

### Penny:
The penny traveled 153 kilometers in 1/2 hour. Its speed is simply:

\[
\text{Penny's speed} = \frac{153 \, \text{km}}{0.5 \, \text{hours}} = 153 \times 2 = 306 \, \text{km/h}
\]

### Comparison:
- Rocket's speed: 249.6 km/h
- Penny's speed: 306 km/h

Thus, **the penny has a faster unit rate per hour** compared to the rocket.

---

Would you like more details or have any questions?

Here are five related questions to consider:
1. How would the speeds change if the rocket traveled a longer distance in the same time?
2. What is the difference between average speed and instantaneous speed?
3. How do you calculate speed when given distance and time in different units?
4. If the penny were to fall for a full hour, how far would it travel at this rate?
5. How does gravity influence the speed of a falling object?

**Tip:** When calculating speeds, always ensure the units for time are consistent (e.g., converting minutes to hours).

During the first seconds after takeoff, a rocket traveled 208 kilometers in 50 minutes at a constant rate. Suppose a penny is dropped from a skyscraper and could travel 153 kilometers in 1/2 hour at a constant rate. Which of these objects has a faster unit rate per hour?

Learn how to calculate and compare the unit rates of a rocket and a falling penny by determining their speeds in kilometers per hour. The rocket travels 208 km in 50 minutes, and the penny covers 153 km in 1/2 hour. Discover which object has a faster speed using simple rate and conversion formulas. Suitable for middle school math students in Grades 6-8.

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