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Chapter 2: Problem 26

An \(1100-\mathrm{kg}\) airplane starts from rest; \(8.0 \mathrm{s}\) later it reaches its takeoff speed of \(35 \mathrm{m} / \mathrm{s} .\) What is the average acceleration of the airplane during this time?

Short Answer

Expert verified
Answer: The average acceleration of the airplane during takeoff is 4.375 m/s².

Step by step solution

01

Identify the given values

We have been given the mass of the airplane (m = 1100 kg), the initial speed (v_i = 0 m/s), the final speed (v_f = 35 m/s), and the time it takes to reach the final speed (t = 8.0 s).
02

Use the average acceleration formula

The formula for average acceleration is a = (v_f - v_i) / t, where a is the average acceleration, v_f is the final speed, v_i is the initial speed, and t is the time interval.
03

Plug in the given values and solve for the average acceleration

Using the above formula, we can now plug in the given values: a = (35 - 0) / 8.0 a = 35 / 8 a = 4.375 m/s²
04

Write the answer

The average acceleration of the airplane during this time is 4.375 m/s².

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