How to find the final height of a moving object

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Homework Help Overview

The problem involves a moving object, specifically an armadillo, that leaps upward and the participants are tasked with determining its initial speed, speed at a certain height, and how much higher it goes. The subject area relates to kinematics and motion under gravity.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of kinematic equations to find the initial speed and speed at a certain height. There is an attempt to solve for the maximum height, with one participant questioning the use of variables in their calculations.

Discussion Status

The discussion is ongoing, with some participants providing suggestions for equations to use while others express confusion over the calculations and the correct interpretation of initial and final velocities. There is no explicit consensus on the correct approach to part (c) yet.

Contextual Notes

One participant mentions issues with a specific online platform (WileyPlus) not accepting their answers, indicating potential constraints related to the problem setup or interpretation of the variables involved.

lordloss
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Homework Statement



A startled armadillo leaps upward, rising 0.523 m in the first 0.206 s. (a) What is its initial speed as it leaves the ground? (b) What is its speed at the height of 0.523 m? (c) How much higher does it go?


Homework Equations



The five Kinematic equations

The Attempt at a Solution



I worked out A and B and got the following answers:

(a) 3.54 m/s

(b) 1.5 m/s

I just can't figure out the last part, C, on how to find how much higher the armadillo goes. Can anyone help me out with this?
 
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I would use 2a(x-x_0)=v^2-v_0^2. Do you see how you can use this to solve (c)?
 
I'm using WileyPlus and its not taking any of the answers I have come up with.

I inserted all the variables into this modified equation to find the final x variable:

X=(V^2-V0^2+2aX0)/2a

Did I do the algebra wrong?

I keep getting 1.047m.
 
That's wrong, and it looks like you are plugging in the wrong velocities here.

For part (c), the armidillo's "initial" velocity is the 1.5 m/s it has at the 0.523 m height. It's "final" velocity is the velocity it has when it has reached it's maximum height (and that velocity is ____?)
 

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