How do I calculate this?

  • Thread starter ella_101
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In summary, calculating the mean involves adding up all the numbers in a set and dividing by the total number of values. To calculate standard deviation, one must find the square root of the variance, which is the average of the squared differences between each value in a set and the mean. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. The formula for finding the area of a shape varies, but for example, the area of a rectangle is found by multiplying length by width. Lastly, the slope of a line is calculated by finding the change in y-values divided by the change in x-values.
  • #1
ella_101
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“if a cyclist travels at an average speed of 3m/s-1 and turns home at an average speed of 9m/s than what is the average speed of the whole journey?”


do I need an equation to work this out?

And please show how you got your answer.


Thanks
 
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  • #2
Try using the equations:

[tex]\bar{speed} = \frac{\Delta X}{\Delta t}[/tex]
[tex]X = V_0{}t + at[/tex]

Also, try using different values for X.
 
  • #3
for your question! To calculate the average speed of the whole journey, we can use the formula: average speed = total distance / total time. In this case, the total distance traveled is the same for both parts of the journey (since the cyclist turns back home), so we can simplify the equation to: average speed = 2 * distance / total time.

To find the total time, we need to know the distances traveled at each speed. We can use the formula: distance = speed * time. So for the first part of the journey, the distance traveled would be: 3m/s * t = distance. And for the second part, the distance traveled would be: 9m/s * t = distance.

Since the distance is the same for both parts of the journey, we can set these two equations equal to each other: 3m/s * t = 9m/s * t. This can be simplified to: 3t = 9t. Solving for t, we get t = 3 seconds.

Now, to find the total time, we add the time for the first part of the journey (3 seconds) to the time for the second part (3 seconds). This gives us a total time of 6 seconds.

Finally, we plug in the values for distance (which we know is the same for both parts of the journey) and total time into our original equation: average speed = 2 * distance / total time. This gives us: average speed = 2 * distance / 6 seconds. Since we don't know the distance, we can leave it as a variable and simplify to: average speed = distance / 3 seconds.

So the average speed for the whole journey is distance / 3 seconds. I hope this helps! Let me know if you have any other questions.
 

1. How do I calculate the mean?

The mean is calculated by adding up all the numbers in a set and then dividing the sum by the total number of values in the set.

2. How do I calculate standard deviation?

The standard deviation is calculated by finding the square root of the variance. The variance is calculated by finding the average of the squared differences between each value in a set and the mean of the set.

3. How do I calculate probability?

Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This can be expressed as a fraction, decimal, or percentage.

4. How do I calculate the area of a shape?

The formula for calculating the area of a shape varies depending on the shape. For example, the area of a rectangle is calculated by multiplying the length by the width, while the area of a circle is calculated by multiplying pi (3.14) by the radius squared.

5. How do I calculate the slope of a line?

The slope of a line is calculated by finding the change in y-values divided by the change in x-values. This can also be expressed as rise over run or delta y over delta x.

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