Applications Of Derivatives Question 165

Question: A particle is moving along the curve $ x=at^{2}+bt+c. $ If $ ac=b^{2}, $ then the particle would be moving with uniform

[Orissa JEE 2003]

Options:

A) Rotation

B) Velocity

C) Acceleration

D) Retardation

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{dx}{dt}=2at+b $

therefore $ \frac{d^{2}x}{dt^{2}}=2a $ .