Exciting Physics Problem: Airplane Acceleration Calculation!

What is the velocity of an airplane that accelerates eastward at a constant rate?

Given data:

  • Initial velocity (u) = 32.7 m/s
  • Final velocity (v) = 44.7 m/s
  • Distance traveled (s) = 48500 m

Answer:

The velocity of the airplane that accelerates eastward at a constant rate is 44.7 m/s.

According to the given data, the airplane's initial velocity is 32.7 m/s, and after accelerating at a constant rate, its final velocity becomes 44.7 m/s. This change in velocity indicates that the airplane has been accelerating eastward.

By applying the third equation of motion, v² - u² = 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled, we can calculate the acceleration of the airplane. Plugging in the values from the data:

(44.7)² - (32.7)² = 2 × a × 48500

1998.09 - 1069.29 = 97000 × a

928.8 = 97000a

928.8 ÷ 97000 = a

0.0095 m/s² = a

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