To find the initial velocity of the aircraft, we need to consider the deceleration and the time it took for the velocity to decrease.
Given: Deceleration (a) = -0.5 m/s (negative sign indicates deceleration) Time (t) = 6 minutes = 6 * 60 seconds = 360 seconds Final velocity (v_f) = 120 m/s
We can use the following equation of motion:
v_f = v_i + a * t
Rearranging the equation, we can solve for the initial velocity (v_i):
v_i = v_f - a * t
Substituting the given values:
v_i = 120 m/s - (-0.5 m/s) * 360 s = 120 m/s + 180 m = 300 m/s
Therefore, the initial velocity of the aircraft is 300 m/s.