LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
775 views
in Physics by (23.8k points)
closed by

The displacement of a body is proportional to the cube of the time lapsed. The magnitude of the acceleration is:

A. increasing with time 

B. decreasing with time 

C. constant 

D. zero

1 Answer

+1 vote
by (24.6k points)
selected by
 
Best answer

We know that, 

 \(Displacement\propto\,time^3\) …….1 

Now, \(Velocity=\frac{Displacement}{Time}\) …….2 

From equations 1 and 2, we get, 

\(Velocity\propto\,time^2\) …….3 

Now, we also know that, \(Acceleration =\frac{Change\,in\,velocity}{Time}\) …….4 

From equations 3 and 4, we get,

  \(Acceleration\propto\,time\) 

Since, acceleration is directly proportional with time, so it increases with time. 

Hence option A is correct.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...