How Do Two Knights Collide When Accelerating Towards Each Other?

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Homework Help Overview

The problem involves two knights on horseback starting from rest and accelerating towards each other from a distance of 88.0 m. Sir George accelerates at 0.300 m/s² while Sir Alfred accelerates at 0.200 m/s². The objective is to determine the point of collision relative to Sir George's starting position.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of kinematic equations to relate acceleration, time, and displacement. There is an attempt to derive the time of collision using the given accelerations.

Discussion Status

Some participants have provided guidance on using displacement formulas, while others express uncertainty about the next steps in their calculations. One participant indicates they have resolved their confusion.

Contextual Notes

There is a mention of starting from rest and the specific accelerations of each knight, which may influence the calculations. The problem context suggests a focus on kinematic relationships without providing explicit solutions.

mslena79
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1. two knights on horseback start from rest 88.0 m apart and ride directly toward each other to do battle. Sir George's acceleation has a magnitude of 0.300 m/s^2, Sir Alfred's has a magnitude of 0.200 m/s^2. Relative to Sir George's starting point, where do the knights collide?



2. a= (v-v0)/(t-t0), v=(x-x0)/(t-t0)



3. 0.300m/s^2=(v-0)/t, v=0.300m/s^2*t, 0.300m/s^2*t=(x-x0)/t, I don't know where to go from here!
 
Last edited:
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You have a formula for displacement in terms of time and acceleration... try to use that to get the time when they collide...
 
x=(0.300m/s^2 *t^2)/2 ?
 
nevermind, I got it now!
 

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