EMB ERJ 145 ER/LR
Flight Crew Air Transport Pilot (ATP)
Human-Machine Interface; Situational Awareness
ATC Issue All Types; Aircraft Equipment Problem Less Severe; Deviation - Altitude Excursion From Assigned Altitude; Deviation / Discrepancy - Procedural Clearance; Inflight Event / Encounter CFTT / CFIT
Air Traffic Control Provided Assistance; Flight Crew Took Evasive Action
Aircraft; Airspace Structure
Took off from [the Airport] assigned runway heading and 5000 feet; shortly after tower gave us 2 left hand turns. After which we were advised to contact Departure and were subsequently given a 090 heading and to maintain 5000 approximately 8 DME from the VOR. About a minute later while level at 5;000; we got a GPWS 'caution terrain; caution terrain;' and right after 'Terrain; terrain; pull up; pull up.' At that moment; I complied with the GPWS warning and initiated the GPWS escape maneuver. At about 6;000 feet; the alert went away and we advised ATC of the situation and let them know that we would level off at 7;000. ATC advised of traffic at 8;000 but still in IMC; then followed by an ATC instructions to turn right to 180 and climb to 15;000. After which the flight proceeded normally and upon arrival wrote up the event in the AML.During this event; the grid MORA (Minimum Off Route Altitude) on the navigation chart was 3;500. The cause [of the GPWS may have been] a Possible Radio Altimeter malfunction or actual terrain. [I am] still trying to understand the underlying cause.
[Report narrative contained no additional information.]
An Embraer 145 Flight Crew reported that they received a 'Terrain-Terrain Pull up; Pull up' warning during climb while following ATC instructions.