Emergency braking in non-camera/non-LIDAR cars requires a significant radar signal which you're only going to get from another vehicle (and even then it's noisy and tends to produce frustrating false positives, leading to later-than-you-want stops). It very likely won't detect a child or a dog, I'm not aware of a single instance of an EBS claiming to have done so in practice (and kids and dogs get hit every day!).