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Equation of the motion of a Body moving along x axis at an instant t second is given by x=40+12t+t^3 displacement of the particle before comming to rest is

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3 years ago

Arun
24742 Points
```							You have typed the wrong equation for xBecause in you equation velocity can never be zero.Hence I have taken x= 40 + 12t - t^3 find the velocity and time relation by differentiating the given equation w.r.t t.v=dx/dt =12 - 3 t^2. The body comes to rest when velocity v= 0.12 -3 t^2 =0, t = 2 secs.At t= 2 , x =40 + 12 *2 - 2 ^3= 56 m
```
3 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