NEET Physics Motion In A Straight Line MCQs

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 starts from rest and moves along a straight line with an acceleration given by $a = 6t - 4$, where $a$ is in $m/s^2$ and $t$ is in seconds. At what time is the velocity of the particle zero after the start of motion?

Two cars A and B are moving with velocities $\vec{v_A} = 40\hat{i}$ km/h and $\vec{v_B} = -30\hat{j}$ km/h relative to the ground. A third car C is moving such that its velocity relative to car A is $\vec{v_{CA}} = 30\hat{j}$ km/h and relative to car B is $\vec{v_{CB}} = 40\hat{i}$ km/h. What is the speed of car C relative to the ground?

A swimmer can swim at a speed of $v$ in still water. He wants to cross a river flowing with speed $u$. If the width of the river is $d$ and the swimmer crosses the river in minimum time, what is the drift experienced by the swimmer?

Rain is falling vertically downwards with a velocity $v_R$. A man walks with a velocity $v_M$. What is the angle with the vertical at which the man should hold his umbrella to protect himself from the rain?

Two particles A and B are moving with constant velocities $\vec{v_A}$ and $\vec{v_B}$ respectively. At $t=0$, their positions are $\vec{r_A}$ and $\vec{r_B}$. The time at which their relative velocity is perpendicular to their relative position is:

A boat is moving with velocity $3\hat{i}+4\hat{j}$ with respect to ground. The water in the river is flowing with a velocity $-3\hat{i}-4\hat{j}$ with respect to ground. The relative velocity of the boat with respect to water is: