Acceleration Vector Word Problem

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Homework Help Overview

The problem involves calculating the average acceleration vector of a quarterback during a tackle, given initial and final velocities, along with the time of impact. The context is rooted in kinematics and vector analysis.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need for a diagram to visualize the velocity components and question the accuracy of the angle provided in the problem statement.

Discussion Status

Some participants have offered guidance on creating a sketch to aid in understanding the problem, while others are questioning the interpretation of the angle related to the quarterback's original direction. There is an ongoing exploration of the components of the velocities involved.

Contextual Notes

There is uncertainty regarding the angle of 120 degrees and whether it accurately reflects the situation described in the problem. Participants are considering the implications of this angle on the calculations.

Retweetfire
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Homework Statement


Famous quarterback Fleet O. Floote is attempting a quarterback draw by running up the middle toward his goal line at 4.6 m/s. A linebacker hits him squarely, and their combined final velocity is 3.8 m/s at an angle of +120.° from the quarterback's original direction. The time it took to change direction at impact was 0.20s. Choose an appropiate horizontal coordinate system and calculate the average acceleration vector of the quarterback during the tackle.

Homework Equations


a = ΔvΔt
329864.image3.png


The Attempt at a Solution


v1 = 4.6 m/s 90.0°
v2 = 3.7 m/s 120.°

v1x = 0 m/s
v1y = 4.6 m/s

v2x = 3.7 cos 60° = 1.9 m/s
v2y = 3.7 sin 60° = 3.2 m/s

I have this, but I feel that I'm missing something.
 
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Please draw a diagram, and show it to us. Thank you.

It seems to me, if the new velocity direction is 120 degrees to the original direction, one of the new components has to be negative.
 
Hello rf, :welcome:
Retweetfire said:
at an angle of +120.° from the quarterback's original direction
Can you post a sketch and compare with what you (were going to) calculate ? Then complete your attempt ?
 
BvU said:
Hello rf, :welcome:

Can you post a sketch and compare with what you (were going to) calculate ? Then complete your attempt ?
 

Attachments

  • IMG-20170319-WA0020.jpeg
    IMG-20170319-WA0020.jpeg
    40.2 KB · Views: 554
That's only at a 30 degree angle to the QBs original velocity. Did they really mean 120 degrees, or did they really mean 30 degrees?
 

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