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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Calculate the average velocity of the particle whose position vector changes from r→1=5i^+6j^ to r→2=2i^+3j^ in a time 5 second. - Physics

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Question

Calculate the average velocity of the particle whose position vector changes from `vecr_1 = 5hati + 6hatj`  to `vecr_2 = 2hati + 3hatj` in a time 5 second.

Sum

Solution

Given,

Position vectors of a particle

`vecr_1 = 5hati + 6hatj`,

`vecr_2 = 2hati + 3hatj`

time(t) = 5s

Solution:

Average velocity: 

`vecV_"ave" = (Deltar)/(Deltat) = (vecr_2 - vecr_1)/(dt) = ((2 - 5)hati + (3 - 6)hatj)/5`

`vecV_"ave" = (-3hati - 3hatj)/5 = (-3)/5(hati + hatj)`

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Motion Along One Dimension
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Chapter 2: Kinematics - Evaluation [Page 100]

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Samacheer Kalvi Physics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 2 Kinematics
Evaluation | Q IV. 3. | Page 100
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