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A person jumps off a diving board 4.0 $\mathrm{m}$ above the water's surface into a deep pool. The person's downward motion stops 2.0 $\mathrm{m}$ below the surface of the water. Estimate the average deceleration of the person while under the water.

$-19.6 \mathrm{m} / \mathrm{s}^{2} \approx-20 \mathrm{m} / \mathrm{s}^{2}$

Physics 101 Mechanics

Chapter 2

Describing Motion: Kinematics in One Dimension

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Erica G.

September 21, 2020

What is deceleration?

Sarah H.

A pleasant day to you Erica so the answer to your question is deceleration results in decrease in speed magnitude of velocity. In one dimensional motion, the “deceleration” is defined as the acceleration which is opposite to the velocity.

Julia M.

Can someone explain what Velocity is?

Doug F.

Hello Julia as far as i know velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion.

Eric V.

I'm confused by the term acceleration?

Brad S.

Hi Eric don't be confused because acceleration is the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the directi

Ellaiza S.

March 1, 2021

Agent Bond is standing on a bridge, 18 m above the road below, and his pursuers are getting too close for comfort. He spots a flatbed truck approaching at 23 m/s which he measures by knowing that the telephone poles the truck is passing are 23 m apart in

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Hope College

University of Sheffield

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.

0:00

A person jumps off a divin…

00:54

03:36

05:16

(I) A diver running 2.5 m/…

03:17

(1) A diver running 1.8 $\…

03:38

Ignore air resistance.…

02:36

A diver running $2.3 \math…

01:09

A cliff diver hits the wat…

03:43

A diver bounces straight u…

01:42

(a) A diver jumps from a b…

04:50

A swimmer bounces straight…

02:33

02:17

A cliff diver drops from r…

01:52

Divers compete by diving i…

04:09

In springboard diving, the…

we have a diver that is diving into the water on the diving board is four meters above the ground. Ah, this is why zero. So that means why Final is zero and our delta Y is why minus y zero turns out to be negative because we're going down. We also know that our initial velocity before we dive zero and I'm gonna split this problem into before that ever hits the water and after they're in the water. So we're looking for V. In this case, we want he squared equals B zero squared plus two a Delta y and A because we're in free fall above the water is minus G. It will be different for the second part once we're in the water because that's what we're trying to find. And so RV is just zero lie close to zero. Ah, again, we have minus G. I don't know why. So RV squared is minus two times nine point H times minus four and R V squared is 78.4 meters per second. And I'm gonna leave it like this because all we need is to be squared for the next part. The V for the first part. Doesn't really matter. Um, and now I'm gonna call this this b squared we have, I'm gonna call it the initial velocity for the second part is 78.4 meters per second. And I'm just gonna call into the water positive directions that we get a negative acceleration, which means decelerating slowing you down. And so are Delta Delta. Why is gonna be positive? Two meters in this case, we also know that our final velocity is zero. Because we're coming to a stop and a is not minus g now because we're not in free fall and we're actually looking for a But we're still going to use the same equation. And in this case, V is the one that zero not be zero us. We have zero squared. It's 78.4 and this is not scared because I just left it like that. Ah, plus to a times two meters. And now we're selling for a in this case. So we have minus 78.4 is to a times two and so a is minus 19.6 meters per second squared and the minus indicates out of the water because we're slowing them down against the direction that they're diving into the water

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