An athlete executing a long jump leaves the ground at a 29.5

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Homework Help Overview

The problem involves an athlete executing a long jump, leaving the ground at a 29.5° angle and traveling a distance of 7.69 meters. The questions posed include determining the take-off speed and the effect of a 4.0% increase in that speed on the jump distance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the forces acting on the athlete during the jump and the relationship between the angle of take-off and the components of speed. There are attempts to reference relevant equations and concepts, such as SUVAT equations, but some participants express confusion about these terms and their application.

Discussion Status

The discussion is ongoing, with some participants providing references to external resources and suggesting methods for analyzing the problem. However, there is a lack of consensus on how to approach the problem, particularly among those new to the subject.

Contextual Notes

Some participants indicate that they are new to physics and are struggling with the foundational concepts necessary to tackle the problem effectively. There is mention of needing to resolve velocity into horizontal and vertical components, which may not be clear to all participants.

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Homework Statement


An athlete executing a long jump leaves the ground at a 29.5∘ angle and travels 7.69m . A- What was the take off speed? B- If this speed were increased by just 4.0%, how much longer would the jump be?

Homework Equations

- Unfortunately I'm totally stuck and I'm not sure what equations to use for this[/B]

The Attempt at a Solution

- I can't come to any solution because I don't really understand where to begin with this problem..[/B]
 
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What you know is:
  • In the jump phase, the only force is g which pulls the athlete down
  • The start angle tells you which part of the take off speed goes upward
  • ... and which part goes forward
  • When the height above ground is 0 (again), the athlete lands
  • And you are supposed to know the formula for distance given speed and accelration
 
G**gle SUVAT.
 
I'm sorry, but I have no idea what that means. I just started Physics for the first time a few days ago, and am having a very hard time
 
Superstar said:
I'm sorry, but I have no idea what that means. I just started Physics for the first time a few days ago, and am having a very hard time
Well, if you had searched the net for SUVAT, as I suggested, you might well have found this, for example: http://en.wikipedia.org/wiki/Equations_of_motion.
Searching for suvat in that page would bring you to http://en.wikipedia.org/wiki/Equations_of_motion#Uniform_acceleration.
However, that reference is not quite ideal because it fails to point out that you can solve a problem such as yours by analysing horizontal and vertical motion separately. That is, you apply the 1-dimensional equations ("collinear" there) in the horizontal and vertical directions separately. To do this, you have to know how to resolve a velocity into its horizontal and vertical components.
There are lots of other hits for SUVAT. See which you find the most intelligible. This will be much more efficient than people on this forum trying to teach it to you. But, if there's any specific statements in them you need to have more explanation on, I'll see what I can do.
You might also find this useful, once you have the basics: https://www.physicsforums.com/insights/frequently-made-errors-mechanics-kinematics/
 

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