Kinematics Question 360

Question: The displacement x of a particle along a straight line at time t is given by: $ \text{x = }{{a} _{0}}\text{+}\frac{{{a} _{1}}t}{2}\text{+}\frac{{{a} _{2}}}{3}{{t}^{2}} $ . The acceleration of the particle is

Options:

A) $ \frac{a _{2}}{3} $

B) $ \frac{2a _{2}}{3} $

C) $ \frac{a _{1}}{2} $

D) $ a _{0}+\frac{a _{2}}{3} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{dx}{dt}=\frac{a _{t}}{2}+\frac{2a _{2}}{3}\Rightarrow \frac{d^{2}x}{dt}=\frac{2a _{2}}{3} $ Acceleration required



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