It sounds like your accident is causing a significant amount of pain! Hopefully you will be feeling better soon. Your question is a good one, and regardless of the specific words used it sounds like the incident with the pole is definitely the cause of your pain. In a strict medical sense, the words bruise
and contusion can be used interchangeably--they both refer to a blunt force injury
to organs or tissues, including the skin or subcutaneous soft tissue (more often referred to as a bruise) or internal organs or muscles. Muscle contusions are actually very common sports injuries, and when the muscle that is injured is deep, you may well develop pain and swelling without the visible color changes associated with disruption of blood vessels within the skin.
In general, muscle contusions will heal over time, but the affected area may be sore for a while. To make sure that you haven't developed a more serious injury that would require further intervention, it is best to see your primary care physician
as soon as possible. Depending upon your injury, physical therapy may actually be very helpful to assist with stretching exercises or therapeutic modalities including heat/ice or ultrasound to help aid healing.