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Q. If a body is moving with uniform acceleration in a straight line describes successive equal distances in time interval t1,t2&t3 then show that1/t1+1/t2+1/t3=3/t1+t2+t3
Q. If a body is moving with uniform acceleration in a straight line describes successive equal distances in time interval t1,t2&t3 then show that1/t1+1/t2+1/t3=3/t1+t2+t3

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4 years ago

Mudit
67 Points
```							The dist. travelled is equal in all intervals .Let that be s.Now, Average velocity=(v1+v2+v3)/3                               =(s/t1+s/t2+s/t3)/3                               =s(1/t1+1/t2+1/t3)/3                     ….(1)Also, Average velocity=Total dist./total time                                =s/(t1+t2+t3)                            ...(2)From (1)&(2)s/(1/t1+1/t2+1/t3)/3=s/(t1+t2+t3)s will cancel out s, and shifting 3 on right hand side we get;1/t1+1/t2+1/t3=3(t1+t2+t3)Hence prooved.Please approve my answer if u found it helpful.
```
4 years ago
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### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions