You are looking for the Multiple Ring Buffer tool. Your input features will be the red light camera points layer, output feature is whatever name you would like. You can input the distances and press the plus button right below to add them to the list. Select meters for buffer unit and a field name that makes sense like "Distance". Then make sure that the dissolve option is set to all, this is so the buffers will not overlap making each their own selectable donut so to speak. With the dissolve option set to all, a distance of 100 meters would create a buffer from 0 to 100 meters. An additional distance of 200 meters would create an buffer from 100 to 200 meters.
With each ring selectable by itself choose the ring you would like to find the accidents for and select it and make sure it is highlighted, then go to select by location. The selection method would be "select features from" and check the layer that holds the accident points. Your source layer is the multiple ring buffer you've created and the spatial selection method can be "intersect the source layer feature". Then check the "use selected features" box right below the source layer drop down menu. Click apply.
Repeat this for each distance in your multiple ring buffer exporting the points to a new layer each time after selection so that you have a layer with accidents at 0-100 meters, 100-200 meters and so on. Be sure to clear your selections each time before repeating or you may end up having multiple buffers selected and exporting accidents from more than one distance.
If you have an advanced license you can use the the Split By Attributes tool to split your multiple ring buffer by its distances. This would generate a new layer for each buffer distance.
Then use select by location again and select only those accidents that intersect with a specific distance layer.