Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Open MARKS Web Download App
Search any question & find its solution
Question: Answered & Verified by Expert
A particle moves so that x = 2 +27t- t3 . The direction of motion reverses after moving a distance of … units.
MathematicsApplication of DerivativesMHT CETMHT CET 2019 (Shift 2)
Options:
  • A 80
  • B 56
  • C 60
  • D 65
Solution:
1441 Upvotes Verified Answer
The correct answer is: 56
We have, x=2+27t-t3
⇒dxdt=27-3t2
Since, direction will be reverse,
∴dxdt=0
⇒27-3t2=0
⇒t=3
∴ Distance x=2+27t-t3
=2+27×3-33
=2+81-27=56 units

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play