Applications Of Derivatives Question 1
Question: A particle moves in a straight line in such a way that its velocity at any point is given by $ v^{2}=2-3x $ , where x is measured from a fixed point. The acceleration is
[MP PET 1992]
Options:
A) Uniform
B) Zero
C) Non-uniform
D) Indeterminate
Show Answer
Answer:
Correct Answer: A
Solution:
Velocity, $ v^{2}=2-3x $
Differentiating with respect to t, we get $ 2v\frac{dv}{dt}=-3.\frac{dx}{dt} $
therefore $ 2v\frac{dv}{dt}=-3v $
therefore $ \frac{dv}{dt}=-\frac{3}{2} $
Hence acceleration is uniform.
BETA
