Question Video: Calculating the Change in the Distance between Two Objects Moving in Opposite Directions | Nagwa Question Video: Calculating the Change in the Distance between Two Objects Moving in Opposite Directions | Nagwa

Question Video: Calculating the Change in the Distance between Two Objects Moving in Opposite Directions Science • Third Year of Preparatory School

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A blue object and an orange object move across a grid of lines spaced 1 meter apart. Each object moves for 2 seconds. The arrows show the distances that the objects move in each second. By how much does the distance between the objects increase each second?

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Video Transcript

A blue object and an orange object move across a grid of lines spaced one meter apart. Each object moves for two seconds. The arrows show the distances that the objects move in each second. By how much does the distance between the objects increase each second?

In this question, we’re asked to find how much the distance between the two objects shown increases each second. We are told that each object travels for two seconds. We are told that the grid lines are spaced one meter apart. We can see then that the objects each travel two meters in the two seconds that they travel for. We can also see from the arrows in the diagram that the objects are traveling away from each other. So the distance between them is increasing.

Let’s start by first finding the speed for each object. Recall that speed is the distance traveled divided by the time traveled for. Here, both objects travel two meters in two seconds. So the speed of each object is one meter per second. Because we’re asked to find how much the distance is increasing each second, we need to know how far each object travels in one second and add those distances together.

The distance the orange object travels in one second is one meter, and the distance the blue object travels in one second is also one meter. So, to find the total change in distance, Δ𝑑, we add these together and get our answer of two meters. This is how much the distance between the objects increases each second.

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