MCQ
Mark the correct statements for a particle going on a straight line
  • A
    if the position and velocity have opposite sign, the particle is moving towards the origin
  • B
    if the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval
  • C
    if the velocity and acceleration have opposite sign, the object is slowing down
  • All of the above

Answer

Correct option: D.
All of the above
d
All options are correct except $C$ because, if the velocity is zero at an instant, then acceleration may not necessarily be zero at that instant.

For e.g. when an object is thrown vertically upward, at highest point velocity is zero but acceleration on it due to gravity is non-zero.

Option $D$ is correct as the derivative of velocity will be zero in case velocity is zero for a time interval,

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A spring balance is attached to the ceiling of a lift. $A$ man hangs his bag on the spring  and the spring reads $49 \,N$, when the lift is stationary. If the lift moves downward with  an acceleration of $5\, m/s^2$, the reading of the spring balance will be .......... $N$
A body takes $1\frac{1}{3}$ times as much time to slide down a rough identical but smooth inclined plane. If the angle of inclined plane is $45^o$, the coefficient of friction is
A mixture of two moles of hydrogen and one mole of argon gas is taken in a closed container at room temperature. Consider the following two statements

$(i)$  The average kinetic energy of each molecule of $H_2$ and $Ar$ are the same.

$(ii)$  The partial pressure due to argon gas is more than that due to hydrogen gas

There have been suggestions that the value of the gravitational constant G becomes smaller when considered over very large time period (in billions of years) in the future. If that happens, for our earth,
An assembly of identical spring-mass systems is placed on a smooth horizontal surface as shown. At this instant, the springs are relaxed. The left mass is displaced to the/left and theiright mass is displaced to the right by same distance and released. The resulting collision is elastic. The time period of the oscillations of system is
A policemen buzz a whistle of frequency $400\ Hz$. A car driver is approaching the policemen. The speed of car is $54\  kmh^{-1}$. The change in frequency experienced by the driver, when driver approaches the policemen and after he crosses the policemen, is ... $Hz$ [Velocity of sound is $350\  ms^{-1}$]
A black body is at a temperature $300 K$ . It emits energy at a rate, which is proportional to
A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant
$110\; J$ of heat is added to a gaseous system, whose internal energy change is $40\; J$, then the amount of external work done is ........ $J$
Find the magnitude of constant acceleration (in $m/ s^2$) needed to allow a car to accelerate in a straight line from a speed of zero to a speed of $30\ m/ s$ in $5\ s:$