The accidents both occurred around 7 a.m.
In the first incident, a pedestrian was struck near the intersection of Cliffdale and Reilly Road at Town Creek Drive around 6:45 a.m.
A Freightliner truck driven by Stephen Stilwell, 47, was traveling east on Cliffdale Road when he veered left to avoid hitting a bicyclist traveling in the same direction.
For an unknown reason the bicyclist, identified as Dorothy Debruler, also veered left causing the truck to hit her.
Debruler, 46, was transported to Chapel Hill for treatment of severe injuries. She is currently listed in critical condition. Stilwel was not injuried.
Just after 7 a.m., officers responded to Raeford Road near the Skibo Road intersection in reference to a bicyclist struck by a vehicle.
The bicyclist, 47-year-old Michael Hawkins, attempted to cross Raeford Road, headed toward a Hardee's, and stopped in the inbound travel lane. The traffic traveling in the inbound lane had the green light.
A Kia SUV, driven by 58-year-old Joyce Bryant, struck the bicyclist causing him to strike the windshield.
Both individuals were taken to Cape Fear Valley Medical Center with non-life threatening injuries. No one has been charged.