Maths Differentiation and Applications of Derivatives Application in Mechanics and Rate Measurer Single Correct MCQ
Published on: August 14, 2026

A particle is moving on a straight line, where its position s (in metre ) is a function of time t (in seconds) given by . If it is known that the particle comes to rest after 4 seconds at a distance of 16 metre from the starting position , then the retardation in its motion is

A
B
C
D

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
B

Given equation ……(i)

Differentiating w.r.t. time, we get

Velocity ( v ) ……(ii)

After 4 sec, and distance

…..(iii)

and ⇒ ⇒

But retardation in its motion is,

Retardation (Retardation itself means – ve ).

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.