Methods and systems for determining a gunshot sequence or recoil dynamics of a gunshot for a firearm

1. A method for displaying aim directions of gunshots of a firearm discharging live ammunition at a target, the method comprising:

detecting, via a first sensor capable of (i) sensing sounds of the gunshots of the firearm discharging the live ammunition or (ii) sensing motions of the firearm resulting from the gunshots of the firearm discharging the live ammunition, the gunshots of the firearm discharging the live ammunition;

measuring, via the first sensor or a second sensor, aim directions of the firearm substantially at times of detecting the gunshots, wherein the second sensor is capable of sensing motions of the firearm resulting from the gunshots of the firearm discharging the live ammunition; and

generating, via electronics or a processor, output for displaying an image that includes bullet strike icons that represent bullet strikes on the target, wherein locations of the bullet strike icons in the image are based, at least in part, on the measured aim directions.

2. The method of claim 1 , further comprising:

recording times of the detected gunshots, wherein the image further includes sequence numbers associated with the bullet strike icons, and wherein the sequence numbers are based, at least in part, on the recorded times of the gunshots.

3. The method of claim 1 , further comprising:

measuring motions of the firearm substantially at the times of detecting the gunshots.

4. The method of claim 3 , further comprising:

further generating output for displaying the image, which further includes display elements indicative of and based, at least in part, on the measured motions of the firearm at the respective times of detecting the gunshots.

5. The method of claim 3 , wherein the measured motions include, at the respective times of detecting the gunshots, (i) speeds of translation of the firearm and/or (ii) rotation of the firearm.

6. The method of claim 5 , wherein the bullet strike icons comprise ellipses having radii based, at least in part, on the speeds of translation and/or rotation of the firearm at the respective times of detecting the gunshots.

7. The method of claim 1 , further comprising:

measuring a time span between (i) the time of detecting at least one of the gunshots and (ii) a time when the sound of the at least one of the gunshots returns to the firearm after reflecting from the target; and

determining a distance between the firearm and the target based, at least in part, on the time span, wherein the image further includes display elements indicative of and based, at least in part, on the distance.

8. The method of claim 1 , further comprising:

recording sequence order of the gunshots, wherein the image further includes sequence numbers associated with the bullet strike icons, wherein the sequence numbers are based, at least in part, on the recorded sequence order of the gunshots.

9. A method for displaying aim directions of gunshots of a firearm discharging live ammunition at a target, the method comprising:

detecting, via a first sensor, the gunshots of the firearm discharging the live ammunition;

measuring, via the first sensor or a second sensor, aim directions of the firearm substantially at times of detecting the gunshots;

generating, via electronics or a processor, output for displaying an image that includes bullet strike icons that represent bullet strikes on the target, wherein locations of the bullet strike icons in the image are based, at least in part, on the measured aim directions;

measuring a time span between (i) the time of detecting at least one of the gunshots and (ii) a time when the sound of the at least one of the gunshots returns to the firearm after reflecting from the target; and

determining a distance between the firearm and the target based, at least in part, on the time span, wherein the image further includes display elements indicative of and based, at least in part, on the distance.

10. A method comprising:

detecting, via a first sensor capable of (i) sensing sound of a gunshot or (ii) sensing motion of a firearm resulting from the gunshot, a first gunshot of the firearm;

measuring, via the first sensor or a second sensor, a first aim direction of the firearm substantially at a first time when the first gunshot is detected, wherein the second sensor is capable of sensing motion of the firearm;

generating, via electronics or a processor, output for displaying an image that includes a first bullet strike icon that represents a first bullet strike on a target;

detecting, via the first sensor or the second sensor, a second gunshot of the firearm;

measuring, via the first sensor or the second sensor, a second aim direction of the firearm substantially at a second time when the second gunshot is detected; and

further generating, via the electronics or the processor, output for displaying the image, which further includes a second bullet strike icon that represents a second bullet strike on the target, wherein a location of the second bullet strike icon relative to the first bullet strike icon in the image is based, at least in part, on the second measured aim direction relative to the first measured aim direction.

11. The method of claim 10 , further comprising:

measuring motions of the firearm substantially at the first time and at the second time; and

further generating output for displaying the image, which further includes display elements indicative of and based, at least in part, on the measured motions of the firearm at the first time and at the second time.

12. The method of claim 11 , wherein the measured motions include respective speeds of translation and/or rotation of the firearm at the first time and at the second time.

13. The method of claim 10 , wherein one or both of the first bullet strike icon and the second bullet strike icon comprise ellipses having radii based, at least in part, on the respective speeds of translation and/or rotation of the firearm at the first time and at the second time.

14. The method of claim 10 , further comprising:

detecting a sound of the first gunshot hitting the target;

measuring a time span between the first time and a time when the sound of the first gunshot hitting the target is detected; and

determining a distance between the firearm and the target based, at least in part, on the time span, wherein the image further includes display elements indicative of and based, at least in part, on the distance.