Need help - Average Speed-Interval Problem

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In summary, an average speed-interval problem involves calculating the average speed of an object during a specific time interval by dividing the total distance traveled by the total time taken. To solve this type of problem, you need to know the distance and time and use consistent units. Common mistakes include using the wrong units and not accounting for changes in speed. The average speed only gives the overall average and cannot determine the exact speed at any given moment. To check your answer, you can plug it back into the original equation, ensure correct units, and use a calculator to double-check calculations.
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need help ASAP- Average Speed--Interval Problem

Average Speed--Interval Problem

Question: A caiman swims 160 meters at a speed of 10 m/s. It then enters a stream and slows to 4 m/s for 310 meters. What is the average speed of this cousin of the crocodile?

Equation given: Average speed is total distance divided by total time
 
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Well, can you calculate the total distance covered with the given information?
 
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Solution:

To solve this problem, we first need to calculate the total distance and total time. The caiman swam 160 meters at a speed of 10 m/s, so it took 160/10 = 16 seconds. Then, it slowed to 4 m/s for 310 meters, which took 310/4 = 77.5 seconds. Therefore, the total time is 16 + 77.5 = 93.5 seconds.

Next, we can use the equation given to calculate the average speed. The total distance is 160 + 310 = 470 meters. So, the average speed is 470/93.5 = 5.03 m/s.

In conclusion, the average speed of the caiman is 5.03 m/s. This means that it traveled at an average speed of 5.03 meters per second throughout the entire journey, including the initial 160 meters at 10 m/s and the 310 meters at 4 m/s.
 

FAQ: Need help - Average Speed-Interval Problem

1. What is an average speed-interval problem?

An average speed-interval problem is a type of problem that involves calculating the average speed of an object during a specific time interval. This is often done by dividing the total distance traveled by the total time taken.

2. How do I solve an average speed-interval problem?

To solve an average speed-interval problem, you will need to know the distance traveled and the time taken. Once you have this information, you can divide the distance by the time to calculate the average speed. Make sure to use consistent units for both distance and time.

3. What are some common mistakes made when solving average speed-interval problems?

One common mistake is using the wrong units for distance and time. Another mistake is not taking into account any changes in speed during the interval, which can affect the average speed. It is also important to pay attention to the direction of travel, as this can affect the final answer.

4. Can I use the average speed to determine the exact speed at any given moment?

No, the average speed only gives you the overall average of the object's speed during the specified time interval. It does not provide information about the speed at any specific moment during that interval.

5. How can I check my answer for an average speed-interval problem?

You can check your answer by plugging it back into the original equation. Make sure the units are correct and that your answer makes sense in the context of the problem. You can also use a calculator to double-check your calculations.

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