A airplane that is flying level needs to accelerate from a speed of to a speed of while it flies a distance of 1.20 km.What must be the acceleration of the plane? A) 4.44 m/s² B) 2.45 m/s² C) 7.33 m/s² D) 5.78 m/s² E) 1.34 m/s²

Question

Quizplus · Accepted Answer

We can use the kinematic equation: v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled. Plugging in the given values, we get:
(11ea83ea_6946_4441_aeff_c1b478594b6b_TB6394_11)^2 = (11ea83ea_6946_1d30_aeff_793a63f3d73c_TB6394_11)^2 + 2a(1.20 km)
Simplifying and solving for a, we get:
a = (11ea83ea_6946_4441_aeff_c1b478594b6b_TB6394_11)^2 - (11ea83ea_6946_1d30_aeff_793a63f3d73c_TB6394_11)^2 / (2 x 1.20 km)
a ≈ 7.33 m/s^2, which is closest to choice C.

A Airplane That Is Flying Level Needs to Accelerate from a Speed