NEET Questions

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 undergoing simple harmonic motion has an amplitude $A$ and angular frequency $\omega$. What is its average speed over one complete oscillation?

A car travels half the distance with a speed of $v_1$ and the other half with a speed of $v_2$. What is its average speed for the entire journey?

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 balls are projected horizontally from the same height with different initial speeds. Neglecting air resistance, which statement is true about their times of flight?

A projectile is launched at an angle $heta$ with the horizontal with an initial speed $u$. If the horizontal range is $R$ and the maximum height reached is $H$, what is the relationship between $R$, $H$, and $heta$?

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 ball is thrown horizontally from a cliff edge with velocity $v$. Another ball is dropped vertically from the same point at the same time. Which ball has the greater acceleration at any given instant before hitting the ground (neglecting air resistance)?