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.
