Motion

The unit 'kilometer' is equal to how many meters?

A body moves from A to B then to C and then to D in a square of side $L$. If it returns to A, the distance is:

A body moves from A to B then to C and then to D in a square of side $L$. If it returns to A, the displacement is:

Scalar quantities are those which have:

An ant moves along the sides of an equilateral triangle $ABC$ of side $10\text{ m}$. It starts at vertex $A$, travels to vertex $B$, and then moves along the side $BC$ until it reaches the midpoint $M$. What is the magnitude of the displacement of the ant from its starting point?

A particle undergoes three consecutive displacements: $8\text{ m}$ towards North, $15\text{ m}$ towards East, and $16\text{ m}$ towards South. Calculate the magnitude of the resultant displacement from the origin.

A robotic toy moves on a floor in a 'staircase' pattern. It moves $3\text{ m}$ East, then $4\text{ m}$ North, then another $3\text{ m}$ East, and finally $4\text{ m}$ North to reach point $E$. What is the magnitude of the total displacement of the toy from its starting point $A$?

A person moves on a circular path of radius $7$m. He starts from A and reaches the diametrically opposite point B. Calculate distance and displacement. (Use $\pi = 22/7$)

The displacement $y$ of a particle is given by $y = a\sin(\omega t)$. The maximum displacement from the origin is:

A runner runs 100m in a straight line, turns $180^\circ$ and runs 50m back. Then he turns $90^\circ$ left and runs 50m. What is the magnitude of net displacement?

If the distance-time graph of an object is a curve bending upwards, it means:

What is the speed of an object that covers $100\text{ m}$ in $10\text{ s}$?

Which of the following represents the motion of a stone dropped from a height?

In a distance-time graph, the X-axis usually represents:

A body is moving with a velocity of $10\text{ m/s}$. If it is in uniform motion, its velocity after $10\text{ seconds}$ will be:

The displacement of a body is given to be zero. What can you say about its distance?

When the motion of an object is non-uniform, its average speed is:

Which of the following correctly describes the motion represented in this diagram sequence?

A body starts from rest and moves with uniform acceleration. The ratio of the distance covered in the $n^{th}$ second to the distance covered in $n$ seconds is:

A car covers $1/4$ of the distance at $20 \text{ km/h}$, $1/4$ at $40 \text{ km/h}$, and the remaining half at $80 \text{ km/h}$. The average speed is:

If the displacement of an object is proportional to the square of time, the object moves with:

A scalar quantity is one that has:

If an object starts from rest, its initial velocity is:

Motion along a straight line is called:

A particle moves along a straight horizontal track as shown in the diagram. It starts from the origin O, travels to point B, and then immediately turns back to stop at point A. If the entire journey from O to B and back to A takes exactly $10\text{ seconds}$, calculate the magnitude of the average velocity of the particle.

A toy car moves from point A to point B and then to point C along a path where segment AB is perpendicular to segment BC, as shown in the diagram. If the car takes $20\text{ seconds}$ to travel from A to C via B, what are the average speed and the magnitude of average velocity of the car respectively?

Which of the following is correct regarding the magnitude of displacement?

A rocket is fired vertically upwards with a constant acceleration of $10\text{ m/s}^2$. After $1\text{ minute}$ the fuel is exhausted. The maximum height reached by the rocket is: (Take $g = 10\text{ m/s}^2$)

The displacement of a particle is given by $x = (t-2)^2$. The velocity of the particle is zero at $t =$:

An object travels $16\text{ m}$ in $4\text{ s}$ and then another $16\text{ m}$ in $2\text{ s}$ in the opposite direction. What is the average velocity of the object?

The rate of change of displacement is velocity, and the rate of change of velocity is:

Calculate the acceleration if a cycle increases its velocity from $2 m/s$ to $10 m/s$ in $4$ seconds.

If the acceleration of an object is in the direction of its motion, it is considered:

A racing car has a uniform acceleration of $4 m/s^2$. What distance will it cover in $10 s$ after start? (Use $s = ut + 1/2 at^2$)

A particle moves along a straight path. The diagram below shows its velocity at three different points: A, B, and C. If the acceleration is uniform within each interval, what is the ratio of the acceleration in the interval BC ($a_{2}$) to the acceleration in the interval AB ($a_{1}$)?

A body is moving with a constant acceleration of $4\text{ m/s}^2$. If its initial velocity is $10\text{ m/s}$, its velocity after $5\text{ s}$ will be:

The displacement of a body is proportional to the square of time. Then the acceleration of the body is:

A particle moves with a velocity $v(t) = (t^2 - t)\ m/s$. At what time $t > 0$ is the acceleration of the particle $5\ m/s^2$?

The ratio of the distances covered by a freely falling body in the $1^{st}, 2^{nd}, 3^{rd}$ and $4^{th}$ second is:

A body is moving in a straight line with uniform acceleration. If it covers $40\ m$ in the first $4$ seconds and $120\ m$ in the next $4$ seconds, what is its acceleration?

Which of these is NOT a variable in the three standard equations of motion?

If an object is moving at a constant speed of $5 m/s$ in a straight line, what is its acceleration after $10 s$?

What is the unit of the term $\frac{1}{2}at^2$ in the second equation of motion?

The change in velocity per unit time is called:

A body starts from rest and moves with uniform acceleration. Which of the following is true for the distance $s$ and time $t$?

A bullet is fired into a target. It loses half of its velocity after penetrating $3\text{ cm}$. How much further will it penetrate before coming to rest?

If displacement is proportional to the square of time, the object is moving with:

A particle moves in a straight line with a constant acceleration. It passes through a point P with velocity $v$ and through Q with velocity $3v$. The velocity at the midpoint of PQ is:

A body is thrown vertically upwards. If $h$ is the maximum height reached, the time taken to reach height $h/2$ during its ascent is:

A car starts from rest and moves with uniform acceleration $a$ for time $t$. Then it moves with uniform deceleration $b$ for time $t'$. If $t + t' = T$, the total distance traveled is:

If the period of revolution is $T$, then in time $T/2$ the displacement of a body in a circle of radius $R$ is:

The speed of the tip of a $10\,cm$ long minute hand is:

Motion of the moon around the earth is nearly UCM. What provides the centripetal force?

If a particle moves with constant speed in a circle, its acceleration is:

An object moves in a uniform circular motion along a track of radius $R$. What is the ratio of the magnitude of its average velocity to its average speed when it travels from point A to a diametrically opposite point B?

The displacement of a body in uniform circular motion after one and a quarter revolutions in a circle of radius $r$ is:

If the frequency of a circular motion is $2\text{ Hz}$, the time taken for one revolution is:

An object moves in a circle of radius $R$. If its speed is tripled, its centripetal acceleration becomes:

A body goes from point A to point B on a circular path of radius $r$ as shown. If the angle subtended at the center is $90^{\circ}$, the displacement is:

If the radius of a circular path is doubled and the speed of the body is also doubled, the centripetal acceleration will:

Which of these is NOT a unit of speed?

If the displacement of an object is proportional to the square of time, the object moves with:

In which case are the magnitude of speed and velocity the same?

Convert $72\text{ km/h}$ into $\text{m/s}$.

A car moves $60\text{ km}$ North and then $80\text{ km}$ East. What is the total displacement?

If a body covers $20\text{ m}$ in $2\text{ s}$ and another $20\text{ m}$ in $2\text{ s}$ in the same direction, the motion is:

The S.I. unit of speed is:

An object moves on a path such that its distance is always equal to its displacement. What can you say about its path?

A particle moves $6\ m$ North, $8\ m$ East and $10\ m$ South. What is its displacement from the origin?

An object travels from point A to B along a path where it first moves $3\ m$ East, then $4\ m$ North, and then $12\ m$ West. What is the magnitude of the displacement from A?

If the slope of a distance-time graph is zero, the object is:

Which of the following represents uniform motion?

If an object moves with a constant speed of $5\,m/s$ for $10\,s$, how will the distance-time graph look?

In the following velocity-time graph, what is the acceleration of the object?

If an object is moving with a constant velocity of $-10\,m/s$, the velocity-time graph will be:

From the given velocity-time graph, find the distance covered in the first $5\,s$.

Which portion of the graph shows the object returning to the starting point?

A car is traveling on a highway in uniform motion. The displacement is measured every 2 seconds. Using the provided position-time graph, find the displacement of the car between $t = 2 \text{ s}$ and $t = 6 \text{ s}$.

A marble rolls on a friction-less horizontal table at a constant speed of $0.5 \text{ m/s}$. Which of the following position-time graphs correctly represents this motion for the first 4 seconds?

The provided graph represents the uniform motion of a train. Two points, A and B, are marked on the graph. If point A is at $(2 \text{ s}, 10 \text{ m})$ and point B is at $(6 \text{ s}, 30 \text{ m})$, determine the constant speed of the train.

When a ball is dropped from a height, its acceleration is approximately:

If an object's velocity increases by $5\ m/s$ every second, its acceleration is:

Acceleration is a measure of how quickly ___ changes.

The change in velocity per unit time is called:

If a car is travelling at $72\ km/h$ and comes to rest in $5\ seconds$ after brakes are applied, find the acceleration.

Acceleration is defined as the:

Which of these remains constant in a uniform circular motion?

A ball is thrown upward with a speed $u$ from a height $h$ above the ground. The time taken by the ball to hit the ground is:

An object starts from rest and moves with a constant acceleration of $4\text{ m/s}^2$. What is the distance covered by the object in the $4^{th}$ second?

A bullet moving with a velocity of $200\text{ m/s}$ is brought to rest by a target in $0.01\text{ s}$. The distance penetrated by the bullet is:

The ratio of the magnitude of displacement to the distance covered by an object moving in a circle for one-fourth of a revolution is:

If an object is moving in a circular path, it must be acted upon by a:

The number of revolutions per unit time is called:

A body is moving in a circular path of radius $10$ cm. What is its displacement when it covers half a revolution?

A wheel of radius $0.7\text{ m}$ completes one revolution in $2\text{ seconds}$. What is the speed of a point on its rim? (Take $π = 22/7$)

If a particle moves in a circle of radius $r$ and takes $T$ time to complete one revolution, its speed $v$ is given by:

A body is moving in a circle of radius $10\text{ m}$ with a constant speed of $2\text{ m/s}$. The centripetal acceleration is:

A particle moves in a circle of radius $R$ such that it covers equal distances in equal intervals of time. This motion is:

If the speed of a satellite in a circular orbit is $v$, then the magnitude of the change in velocity when it moves through an angle $\theta$ is:

The dimension of angular velocity is equivalent to the dimension of:

Uniform circular motion is an example of:

The SI unit of distance is:

A body starts from rest and moves with a constant acceleration of $5\text{ m/s}^2$ for $2\text{ seconds}$. The distance covered is:

Which of the following is not a vector quantity?

A truck travels from point $A$ to point $B$ at a constant speed of $40\text{ km/h}$ and returns from $B$ to $A$ along the same straight path at a constant speed of $60\text{ km/h}$. What is the average speed of the truck for the entire round trip?

An object is dropped from the top of a tall building and takes exactly $3\text{ seconds}$ to reach the ground. Taking the acceleration due to gravity $g = 9.8\text{ m/s}^2$, what is the height of the building?

The distance-time graph for two objects $P$ and $Q$ is shown as straight lines starting from the origin. Line $P$ makes a larger angle with the time axis than line $Q$. Which of the following statements is correct regarding their speeds?

A car starts from rest and accelerates at a constant rate of $2\text{ m/s}^2$ for $t$ seconds. It then travels at the acquired maximum velocity for $5\text{ seconds}$ and finally undergoes a uniform retardation of $2\text{ m/s}^2$ to come to rest. If the total distance traveled is $100\text{ m}$, find the value of $t$.

A hot air balloon is rising vertically with a constant speed of $10\text{ m/s}$. When the balloon is at a height of $40\text{ m}$ above the ground, a stone is released from it. How long will the stone take to reach the ground? (Take $g = 10\text{ m/s}^2$)

A person travels along a straight road for the first half time with a velocity $v_1$ and the next half time with a velocity $v_2$. The average velocity $v$ is given by:

If a body is moving with a constant velocity of $10\,m/s$ for $5$ seconds, the area under its v-t graph is:

Which graph is used to derive the equations of motion?

The slope of the velocity-time graph for a body falling freely under gravity is:

A straight line inclined to the time axis on a distance-time graph represents:

A vehicle's motion is recorded on a velocity-time graph. It moves with a constant velocity of $10 \text{ m/s}$ for the first $4 \text{ s}$, and then it decelerates uniformly to come to a stop at $t = 6 \text{ s}$. Based on the geometric shapes formed under the graph, what is the total distance traveled by the vehicle?

Which of the following motions cannot be represented accurately by a single straight line on a velocity-time graph?

The unit of the slope of a velocity-time graph is:

On a $v-t$ graph, a line segment is given by $v = 5t$ for $0 \le t \le 2$. What is the average velocity over this interval?

The area under a speed-time graph for a particle moving in a curved path represents:

For a ball thrown upward and caught, the displacement-time graph is a parabola. The vertex (peak) of this parabola represents:

Which of these is NOT a kinematic equation of motion?

Calculate the final velocity if $u=0, a=2\ m/s^2, s=25\ m$.

The distance-time graph for a body at rest is a:

The velocity-time graph for uniform acceleration is a:

A body moving with uniform acceleration has velocities $20\ m/s$ and $30\ m/s$ at two points. The velocity at the midpoint between these points is:

A car starts from rest and moves with uniform acceleration for $20\ s$. If it covers a distance $s_1$ in the first $10\ s$ and $s_2$ in the next $10\ s$, then: