An airplane that is flying level needs to accelerate from a speed of 2.00 × 10² m/s 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 equation: vf^2 = vi^2 + 2ad where vf is the final velocity (11eab929_2a47_137d_99e6_8f8999bfe5a3_TB4470_11), vi is the initial velocity (2.00 × 10²), d is the distance (1.20 km or 1200 m), and we need to solve for a, the acceleration. Plugging in the values: (11eab929_2a47_137d_99e6_8f8999bfe5a3_TB4470_11)^2 = (2.00 × 10²)^2 + 2a(1200) Simplifying: 121 = 4 + 2400a 117 = 2400a a ≈ 0.049 m/s² Rounding to two significant figures, we get: a ≈ 7.3 m/s² Therefore, the best choice is C, or 7.33 m/s².

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