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(a) If a flea can jump straight up to a height of $22.0 \mathrm{cm},$ what is its initial speed (in $\mathrm{m} / \mathrm{s} )$ as it leaves the ground, neglecting air resistance? (b) How long is it in the air? (c) What are the magnitude and direction of its acceleration while it is (i) moving upward? (ii) moving downward? (iii) at the highest point?

a) 2.08 $\mathrm{m} / \mathrm{s}$b) 0.424 $\mathrm{s}$c)i) 9.80 $\mathrm{m} / \mathrm{s}^{2}$ vertically downwards.ii) 9.80 $\mathrm{m} / \mathrm{s}^{2}$ vertically downwards.iii) 9.80 $\mathrm{m} / \mathrm{s}^{2}$ vertically downwards.

Physics 101 Mechanics

Chapter 2

Motion along a Straight Line

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

Rutgers, The State University of New Jersey

University of Winnipeg

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

02:03

(a) If a flea can jump str…

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When jumping, a flea reach…

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Jumping flea. For its size…

03:59

When jumping, a flea rapid…

03:22

High-speed photos of a 220…

03:17

High-speed photos of a $22…

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Flying Leap of the Flea. H…

So we know that delta y equals 22 centimeters that Khun jumped 22 centimeters in the air or point to two meters. So weaken to find part a thie initial rai velocity we can save the wife. Final squared equals B Y initial squared plus two times jeantel toe Why we know that the Y final squared at the maximum height zero So we can say that V Y initial will equal the square root of a negative two times negative 9.8 times delta y of 0.22 and this is giving us 2.8 meters per second. So given this, we can ah say that v wife in the time it takes can be v y Final equals V. Why initial plus gt yu know the view Our final is going to be equal to zero So we can say that t going up is going to be equal to negative 2.8 divided by nine point of negative 9.8 native 9.8 and this is equaling point 212 seconds. Therefore T and you know the time it takes to reach the maximum height is equal to the time it takes to reach the ground from the maximum height so t down. So we can say T total is in a vehicle to two times point 212 equaling point for 24 seconds. Now, parte si is asking us for the magnitude and direction of gravity and throughout the entire Aah project how the entire insects motion the gravity, the magnitude of gravity. Hey, is always 9.8 meters per second squared and it is always pointed down. Gravity no is always pointed downwards towards the centre of the earth. No matter where you are, what? No matter where you are on Earth, it will always point towards the center of the earth. So it doesn't matter where what position the insect is in the magnitude of gravity will always stay the same. And I will always be pointed downwards in this reference frame. That is the end of the solution. Thank you for watching

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