From a position of 3.2m Priya walks 3.4 m in the negative direction and 1.2 m in the
positive direction. What is her new position
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Instead, speed and direction usually vary during your time of ... Vivian is walking to the hairdresser's at 1.3 m/s when she glances at her watch ... with a negative velocity and position.
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Priya is 1 m away from her starting point but in the positive direction.
- Priya is said to walk 3.4 m from a position of 3.2 m which means that she has already covered a distance of 3.2 m from a starting point. This means that from her original position she has walked 3.2 m.
- Since, the directions are also considered here, along with the magnitude she covers, the quantity being considered here is the displacement.
- This is because displacement is a vector quantity which concerns both magnitude as well as direction.
- Here, Priya covers a distance of 3.2 m and then 3.4 m in the negative direction.
- So, we need to consider that Priya walked 3.2 m in the positive direction and then walks 3.4 m in the opposite direction which is the negative direction.
- If we assume that Priya is walking in the North direction for example, initially then the 3.4 m distance that she covers would be in the South direction.
- This means that she would have covered as extra of 0.2 m () but in the negative direction. So at this instant she is 0.2 m away from her original starting position but in the negative direction.
- She is facing the negative direction or the South as per our assumption.
- Now, after walking 3.4 m in the reverse direction she is then said to walk 1.2 m in the positive direction again so as per our assumption she walks 1.2 m in the North direction again.
- This means that she covers 0.2 m to reach to her starting position and then 1 m more to cover the distance of 1.2 m.
- Hence, Priya is now 1 m away from the starting position from where she initially started before travelling the 3.2 m.
- She is 1 m away from her starting position but in the positive direction from that point and this is her new position.
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