Question

A swan on a lake gets airbome by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of $6.00 \mathrm{m} / \mathrm{s}$ to take off and it accelerates from rest at an average rate of $0.35 \mathrm{m} / \mathrm{s}^{2},$ how far will it travel before becoming airborne? (b) How long does this take?

Name: Problem 60, Chapter 3: University Physics Volume 1
Uploaded: 2020-06-29T11:58:23-08:00
Duration: 1 min 49 s
Channel: Surjit Tewari
Description: A swan on a lake gets airbome 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 0.35 m / s^2, how far will it travel before becoming airborne? (b) How long does this take?

   A swan on a lake gets airbome by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of $6.00 \mathrm{m} / \mathrm{s}$ to take off and it accelerates from rest at an average rate of $0.35 \mathrm{m} / \mathrm{s}^{2},$ how far will it travel before becoming airborne? (b) How long does this take?

University Physics Volume 1

Samuel J. Ling, Jeff… 1st Edition

Chapter 3, Problem 60

Instant Answer

Solved by Expert Surjit Tewari

06/29/2020

Step 1

35 m/s². We can use the third equation of motion to find the distance (d) the swan travels before becoming airborne. The third equation of motion is: \[v^2 = u^2 + 2ad\] Show more…

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A swan on a lake gets airbome by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of $6.00 \mathrm{m} / \mathrm{s}$ to take off and it accelerates from rest at an average rate of $0.35 \mathrm{m} / \mathrm{s}^{2},$ how far will it travel before becoming airborne? (b) How long does this take?

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Key Concepts

Uniform Acceleration

In physics, uniform acceleration describes a situation where an object’s acceleration remains constant over time. This assumption simplifies the analysis of motion because it allows the use of specific kinematic equations that directly relate displacement, velocity, acceleration, and time.

Kinematic Equations

Kinematic equations are mathematical formulas used to solve problems involving motion with constant acceleration. They include relationships such as v = v? + at and v² = v?² + 2a?x, which enable the calculation of parameters like distance traveled and time taken when other quantities, such as acceleration and initial or final velocities, are known.

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