Video: Finding the Speed of an Objective given the Distance It Traveled and the Time of Travel

What is the speed of an object that travels a distance of 300 m in a time of 25 s?

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Video Transcript

What is the speed of an object that travels a distance of 300 meters in a time of 25 seconds?

So in this case, we’ve got an object, which we’ll say for the purpose of our question is this round blobby thing. And we’ve been told that the object moves 300 meters. So let’s say it moves 300 meters in this direction, which means that it starts here and finishes here. And we’ve been told that it travels a distance of 300 meters in a time of 25 seconds. We need to work out the speed of this subject. So let’s start by providing labels to the 300 meters and 25 seconds.

Let’s say that the distance moved firstly is called 𝑑 and the time taken to travel that distance is called 𝑡. Then, we can recall the definition of speed. Speed is the rate of change of distance moved by an object. In other words, speed is equal to the distance moved by an object divided by the time taken to travel that distance.

And in this question, we’ve already been given the distance travelled by the object and the time taken to travel that distance. So we can work out the speed simply by substituting in our values of 𝑑 and 𝑡. So we can say that the speed of the object 𝑠 is equal to 300 meters — that’s the distance moved by the object — divided by 25 seconds — that’s the time taken for the object to move 300 meters.

And since we’ve kept our units in the calculation, we can see that our final answer is going to have the unit of meters per second or meters divided by seconds. And so, when we evaluate the right-hand side of this equation, we get our final answer which is that the speed of the object is 12 meters per second.

In other words, every second that object is travelling 12 meters. So the first second it travels 12 meters, the second second it travels another 12 meters, the third second it travels yet another 12 meters, and so on and so forth until 25 seconds later and it’s traveled the total distance of 300 meters. Hence, we say that it’s done this at a speed of 12 meters per second.

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