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