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12345 [234]
4 years ago
14

An airplane in level flight travels horizontally with a constant eastward acceleration of 8.50 m/s2 and a constant northward acc

eleration 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.
Physics
1 answer:
zloy xaker [14]4 years ago
7 0

Answer:

d = 3574.3 m

Explanation:

Given that acceleration of the airplane is

a_x = 8.50 m/s^2

a_y = -28 m/s^2

initial velocity is given as

v_x = 83.5 m/s

v_y = -15.5 m/s

now we have displacement in x direction given as

x = v_x t + \frac{1}{2}a_x t^2

x = (83.5)(14) + \frac{1}{2}(8.5)(14)^2

x = 2002 m

Displacement along y direction is given as

y = v_y t + \frac{1}{2}a_y t^2

y = (-15.5)(14) + \frac{1}{2}(-28)(14^2)

y = -2961 m

so the magnitude of the displacement is given as

d = \sqrt{x^2 + y^2}

d = \sqrt{2002^2 + 2961^2}

d = 3574.3 m

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