A jump-out determination unit determines whether or not an object is approaching a travel direction of a vehicle based on movement information relating to movement of the object, the movement information having been acquired by a speed variation calculation unit after a pre-indication of that the object approaches the travel direction of the vehicle is detected by a jump-out pre-indication calculation unit of a detection apparatus. As a result, the sudden approach of the object toward the travel direction, which is difficult to determine solely from the movement information relating to the object, can be detected with improved precision.