Rates of Change - Is this answer correct?

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In summary, a droplet of oil with a radius of 50m is placed in the center of a circular container with a radius of 50m. The droplet's radius is increasing at a constant rate of 0.5ms^-1. The time it takes for the droplet to reach the sides of the container, where R=r, can be calculated using the equation T=x/y=R/r, where T is time, x is the radius of the container, and y is the radius of the droplet. By plugging in the values, the estimated time is approximately 100 seconds. In addition, if you walk at a rate of 0.5m/s, you will travel 0.5m,
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Homework Statement



A droplet of oil is placed at the bottom of a circular container of radius(R)= 50m so that it is in the centre. If the radius (r) of the droplet is increasing at a constant rate of 0.5ms^-1. How long will it take for the droplet to reach the sides of the container i.e.when R=r.

Homework Equations



T=x/y=R/r where T=time, x=radius of container, y=radius of droplet.

The Attempt at a Solution



t=50/0.5=100s?

I don't do maths so I thought maybe you guys could help.

Thanks a lot.
 
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If you walk a half a meter per second how far will you go in 1, 10, and 100 seconds?

.5m, 5m, 50m ?

You don't do math, you just did math!
 

FAQ: Rates of Change - Is this answer correct?

What is a rate of change?

A rate of change is a measure of how one quantity changes in relation to another quantity. It is often expressed as a ratio or fraction, and can be used to describe the speed at which something is changing over time or in relation to another variable.

How is the rate of change calculated?

The rate of change can be calculated by taking the difference between the initial and final values of a quantity, and dividing it by the time or distance it took to change. This can also be represented as the slope of a line on a graph.

What are some real-life examples of rates of change?

Some examples of rates of change in real life include speed (miles per hour), population growth (people per year), and stock market performance (percentage change over time). It can also be used to measure changes in temperature, weight, and many other quantities.

How does the rate of change affect my data?

The rate of change can significantly impact your data and analysis, as it provides important information about how your data is changing over time or in relation to another variable. It can help identify patterns, trends, and outliers in your data, and can also be used to make predictions and forecasts.

Is there a standard unit for rate of change?

The unit for rate of change depends on the variables being measured. For example, if the rate of change is expressed as a ratio of distance over time, the unit would be distance/time (such as miles per hour). It is important to pay attention to the units when interpreting and comparing rates of change.

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