Final answer:
The high school level physics question involves using kinematic equations to calculate the final velocity of a passenger plane by first converting the initial speed into meters per second and then solving for acceleration.
Step-by-step explanation:
The student has asked about a physics problem related to finding the final velocity of a passenger plane as it takes off. The plane starts at 20 km/h and then speeds up with a constant acceleration over 59 seconds, traveling a distance of 2.4 km on the runway. To find the final velocity, we first need to convert the initial speed from km/h to m/s and then apply 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 covered.
Firstly, converting the initial speed from km/h to m/s, we get 20 km/h = (20 * 1000 m) / (3600 s) = 5.56 m/s. Now, with the given distance (s = 2.4 km = 2400 m) and the initial velocity (u = 5.56 m/s), we can rearrange the kinematic equation to solve for acceleration (a): a = (v^2 - u^2) / (2s). After finding the acceleration, we can then use the equation v = u + at to calculate the final velocity at the moment of take-off, where t is the time of acceleration.