NEET Questions

A particle moves along a semicircular path of radius $R$ in time $T$. If it returns to its starting point along the diameter in time $T/2$, what is the magnitude of the average velocity for the entire journey?

A body moves in a straight line for time $t_1$ with velocity $v_1$ and for time $t_2$ with velocity $v_2$ in the same direction. If the average velocity is equal to $(2v_1v_2)/(v_1+v_2)$, then the condition relating $t_1$ and $t_2$ is:

A particle moves along a closed trajectory. Which of the following is always true?

A particle moves along a spiral path given by $r = at$, $heta = bt$, where $a$ and $b$ are constants and $t$ is time. What is the magnitude of average velocity from $t=0$ to $t=T$?

A particle moving with uniform acceleration along a straight line covers distances $S_1$ and $S_2$ in successive time intervals $t_1$ and $t_2$. Which equation correctly relates these quantities?

A particle moves along a trajectory defined by $x = t^3 - 6t^2 + 9t + 2$ and $y = t^2 - 2t + 1$, where $x$ and $y$ are in meters and $t$ is in seconds. What is the magnitude of the displacement of the particle between $t=0$ and $t=4$ seconds?

A bee flies in a spiral path described by $r = 2t$ and $heta = \pi t$, where $r$ is in meters, $heta$ is in radians, and $t$ is in seconds. What is the magnitude of the bee's displacement from $t = 0$ to $t = 2$ s?

A particle's position vector is given by $\vec{r}(t) = (3t^2 - 2t)\hat{i} + (t^3 - 4)\hat{j}$. At what time $t$ is the particle's displacement from the origin equal to 5 units?

A body travels along a path described by $y = x^2$. What is the ratio of distance to displacement when moving from $(0,0)$ to $(2,4)$?

A particle moves in a circular path of radius R. It completes one and a half revolutions. What is the ratio of the distance traveled to its displacement?