An airplane in level flight travels horizontally with a constant eastward acceleration of 8.50 m/s2 and a constant northward acceleration of −28.0 m/s2. the airplane's initial velocity has eastward and northward components of 83.5 m/s and −15.5 m/s, respectively. determine the magnitude of the airplane's displacement from its initial position after 14.0 s.

Explanation:

Given that acceleration of the airplane is

initial velocity is given as

now we have displacement in x direction given as

Displacement along y direction is given as

so the magnitude of the displacement is given as

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2