Question

A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of $0.350 \mathrm{m} / \mathrm{s}^{2},$ how far will it travel before becoming airborne? (b) How long does this take?

Name: Problem 31, Chapter 2: College Physics for AP® Courses
Uploaded: 2020-03-11T19:18:38-08:00
Duration: 52 s
Channel: Caitlin Walker
Description: A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.350 m / s^2, how far will it travel before becoming airborne? (b) How long does this take?

   A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of $0.350 \mathrm{m} / \mathrm{s}^{2},$ how far will it travel before becoming airborne? (b) How long does this take?

College Physics for AP® Courses

Irina Lyublinskaya,…

Chapter 2, Problem 31

Instant Answer

Solved by Expert Caitlin Walker

03/11/2020

Step 1

00 m/s, the initial velocity $v_i$ is 0 (since the swan starts from rest), and the acceleration $a$ is 0.350 m/s². We can use the equation of motion $v_f = v_i + at$ to find the time $t$ it takes for the swan to reach the required velocity. Rearranging the equation Show more…

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A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of $0.350 \mathrm{m} / \mathrm{s}^{2},$ how far will it travel before becoming airborne? (b) How long does this take?

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Key Concepts

Application of Kinematic Equations

This concept refers to the practical use of the aforementioned kinematic formulas to compute unknown variables in a motion problem. In scenarios like calculating the distance required to reach a specific speed or the time taken to do so, one selects the appropriate equations based on the known and unknown quantities, ensuring a step-by-step determination of the relevant values.

Uniform Acceleration Kinematics

This concept involves analyzing motion when the acceleration is constant. It allows the use of specific equations—such as v = u + at, x = ut + 1/2 at², and v² = u² + 2ax—to relate the quantities of initial velocity, final velocity, acceleration, displacement, and time. These equations provide a structured approach to solving problems involving uniformly accelerated motion.

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