Solveeit Logo

Question

Mathematics Question on complex numbers

If a particle moves in such a way that the displacement is proportional to the square of the velocity acquired, then its acceleration is

A

proportional to s2

B

proportional to √s

C

a constant

D

proportional to 1s

Answer

a constant

Explanation

Solution

Explanation:
According to question, s∝v2⇒v=ksNow, acceleration =dvdt=k12s⋅dsdt=k12s⋅ks(∵v=dsdt=ks)=k22=a constant