To find the final velocity of the airplane after accelerating uniformly at a given rate for a certain time, we can use the equation of motion:
v = u + at
Where: v = final velocity u = initial velocity a = acceleration t = time
Given: u = 200 m/s (initial velocity) a = 7 m/s² (acceleration) t = 12 s (time)
Using the equation, we can substitute the values:
v = 200 + (7)(12) v = 200 + 84 v = 284 m/s
Therefore, the final velocity of the airplane is 284 m/s.