Distance

Q. An object moves along the grid through points A, B, C, D, E and F as shown in the figure. Find the distance covered by the moving object?

1. $5\text{km}$
2. $6\text{km}$
3. $6.5\text{km}$
4. $7\text{km}$

Q. The distance is always greater than displacement.

1. True
2. False

Q.

An ant moves from A to B. Find the distance (d) and displacement ( s).

1. d = 0 cm, s = 5cm

2. d = 5 cm, s = 0 cm

3. d = 5 cm, s = 5 cm

4. d = 0 cm, s = 0 cm

Q. An object moves from point $A$ to point $B$ to point $C$, then back to point $B$ and then to point $C$ along the line shown in the figure. Find the distance covered by the moving object in $\text{km}$.

1. 13
2. 15
3. 17
4. 19

Q. A car accelerates with an acceleration of $2{\text{m/s}}^2$ for $20\text{s}$ from rest on a straight path. Then it decelerates with $1{\text{m/s}}^2$ until its velocity becomes zero. The total distance covered by the car is -

1. $1400\text{m}$
2. $1300\text{m}$
3. $1200\text{m}$
4. $1100\text{m}$

Q.

A Train travels the first 15 km at a uniform speed of 30 km/h , the next 75 km at a uniform speed of 50 km/h and the last 10 km at a uniform speed 20 km/h. Calculate the average speed for entire train journey.

Q. An object moves from point $A$ to point $B$ to point $C$, then back to point $B$ and then to point $C$ along the line shown in the figure. Find the distance covered by the moving object in $\text{km}$.

1. 13
2. 15
3. 17
4. 19

Q. A particle moves, along a straight line OX. At a time $t$ (in second), the position $x$ (in metre) of the particle from $O$ is given by $x=40+12t-t^3$. How much distance particle covers before coming to rest?

1. $16\text{m}$
2. $24\text{m}$
3. $40\text{m}$
4. $56\text{m}$

Q. A particle moves, along a straight line $OX$. At a time $t$ (in second), the position $x$ (in metre) of the particle from $O$ is given by $x=40+4t-t^4$. Displacement of the particle before coming to rest is

1. $3\text{m}$
2. $2\text{m}$
3. $4\text{m}$
4. $6\text{m}$

Q.

Distance can be negative.

1. True

2. False

Q. Displacement is the length of path covered by the particle while distance is change in position of the particle.

1. False
2. True

Q. The magnitude of displacement of a particle is ___ the distance travelled by the particle

1. =
2. >
3. <
4. < =

Q.

During motion, we know distance never decreases(ie. It is a monotonically increasing function of time), this implies

1. speed never decreases(It is also a monotonically increasing function)

2. speed is always positive

3. speed is never negative

4. speed can take any value

Q. A person starts walking from $A$ and moves towards east $4$ $\text{m}$. He then turns left and walks $3$ $\text{m}$. Find the distance and magnitude of displacement covered by him respectively.

1. $7$ $\text{m}$, $7$ $\text{m}$
2. $7$ $\text{m}$, $5$ $\text{m}$
3. $5$ $\text{m}$, $5$ $\text{m}$
4. $7$ $\text{m}$, $0$ $\text{m}$

Q. A car accelerates with an acceleration of $2{\text{m/s}}^2$ for $20\text{s}$ from rest on a straight path. Then it decelerates with $1{\text{m/s}}^2$ until its velocity becomes zero. The total distance covered by the car is -

1. $1400\text{m}$
2. $1300\text{m}$
3. $1200\text{m}$
4. $1100\text{m}$

Q. A train is approaching a platform with a speed of $20\text{km/hr}$. A bird is sitting on a pole at the platform. When train is $2\text{km}$ away from the pole, brakes are applied so that the train decelerates uniformly, simultaneously the bird also flies towards the train with a velocity $60\text{km/hr}$. It touches the nearest point on the train and flies back and back again and so on. The total distance travelled by the bird before train stops is

1. $30\text{km}$
2. $15\text{km}$
3. $12\text{km}$
4. $10\text{km}$

Q. A particle moves on a circular arc of radius $r$, the distance covered by particle when it travels from $A$ to $B$ on the arc subtending an angle ${60}^{\circ }$ at centre of circular path.

1. $\frac{2\pi r}{9}$
2. $\frac{2\pi r}{6}$
3. $\frac{3\pi r}{4}$
4. $\frac{2\pi r}{8}$

Q.

Which of the following is a good approximation of one dimensional motion

1. Landing of an aircraft

2. Earth revolving a round the sun

3. Motion of wheels of a moving train

4. Train running on a straight track

Q. A rocket is fired upward and its fuel is exhausted in $10\text{sec}$. The figure shows its $v–t$ graph, where $v$ is in $\text{m/s}$ and $t$ is in $\text{sec}$. What is the maximum height reached?

1. $5000\text{m}$
2. $10000\text{m}$
3. $50000\text{m}$
4. $100000\text{m}$

Q. A student walks daily to school, which is $2.5$$\text{km}$ from his home. When the school gets over, he takes a shorter route on his way back home. The shorter route is $1.8$$\text{km}$. The distance he covers on his way to school and back home is $\text{km}$ and the displacement for the same is $\text{km}$.

Q. The minimum value of distance travelled by a body can be .

1. zero
2. $\infty$
3. $-\infty$
4. unity

Q.

A wheel of radius 1 meter rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is

1. $2\pi$

2. $\sqrt{2}\pi$

3. $\sqrt{{\pi }^2+4}$

4. $\pi$

Q. In which of the following cases would knowing the path length alone not be enough

1. Finding out how much fuel a flight journey might require.
2. Determining by how much you must reset your watch.(Change in time zone)
3. To determine how long the journey would take.
4. To determine wear and tear of the tyres.

Q. Which of the following is not possible for a body in uniform motion?
[The shown graph is Displacement vs Time]

1. 
2. 
3. Both (a) & (b)
4. None of these

Q. A car leaves station $X$ for station $Y$ every $10\text{min}$. The distance between $X$ and $Y$ is $60\text{km}$. The car travels at speed $60\text{km/h}$. A man drives a car from $Y$ towards $X$ at speed $60\text{km/h}$. If he starts at the moment when first car leaves station $X$, how many cars would he meet on route?

1. $20$
2. $7$
3. $10$
4. $5$

Q. If the speed of a car is given as $v=2t+5\text{m/s}$, total distance covered by the car in $5sec$ is

1. $30\text{m}$
2. $40\text{m}$
3. $50\text{m}$
4. $25\text{m}$

Q. The position of a particle moving in a straight line is described by the relation $x=3+6t-t^2\text{m}$. The distance covered by the particle in metres in first $6\text{s}$ is

Q. Below Figure represents the speed time graph for a particle. Find the distance covered by the particle between $t=2\text{Min}$ to $t=6\text{Min}$.

1. $5\text{Km}$
2. $4.8\text{Km}$
3. $4\text{Km}$
4. $5.2\text{Km}$

Q.

A car travels the first half of a distance between two places at a speed of 30 km/hr and the second half of the distance at 50 km/hr. The average speed of the car for the whole journey is

1. 42.5 km/hr

2. 40.0 km/hr

3. 37.5 km/hr

4. 35.0 km/hr

Q.

A car travels $30\mathrm{km}$ at a uniform speed of $40\mathrm{km}/\mathrm{hr}$ and the next $30\mathrm{km}$ at a uniform speed of $20\mathrm{km}/\mathrm{hr}$. Find its average speed.