For the one-dimensional motion described by x(t)=t- sin t A. v(t)<0 for all t>0 B. x(t)>0 for all t>0 C. v(t) lies in between 0 and 2 D. a(t)>0 for…

For the one-dimensional motion described by $\displaystyle x(t)=t-\sin t$ A. $\displaystyle v(t)<0$ for all $\displaystyle t>0$ B. $\displaystyle x(t)>0$ for all $\displaystyle t>0$ C. $\displaystyle v(t)$ lies in between $\displaystyle 0$ and $\displaystyle 2$ D. $\displaystyle a(t)>0$ for all $\displaystyle \mathrm{t}>0$ E. $\displaystyle a(t)$ lies in between $\displaystyle 2$ and $\displaystyle 3$ Choose the correct answer from the options given below :