Question 1: Palette 1/38

DPT MCQ

A body moves $6\text{ m}$ north, $8\text{ m}$ east and $10\text{ m}$ vertically upwards. What is its resultant displacement from initial position?

A

$10\sqrt{2}\text{ m}$

B

$10\text{ m}$

C

$\frac{10}{\sqrt{2}}\text{ m}$

D

$10 \times 2\text{ m}$

Question 2: Palette 2/38

DPT MCQ

A man goes $10\text{ m}$ towards North, then $20\text{ m}$ towards east then displacement is

A

$30\text{ m}$

B

$25.5\text{ m}$

C

$22.5\text{ m}$

D

$25\text{ m}$

Question 3: Palette 3/38

DPT MCQ

A person moves $30\text{ m}$ north and then $20\text{ m}$ towards east and finally $30\sqrt{2}\text{ m}$ in south-west direction. The displacement of the person from the origin will be

A

$10\text{ m}$ along north

B

$10\text{ m}$ along south

C

$10\text{ m}$ along west

D

Zero

Question 4: Palette 4/38

DPT MCQ

An aeroplane flies $400\text{ m}$ north and $300\text{ m}$ south and then flies $1200\text{ m}$ upwards then net displacement is

A

$1400\text{ m}$

B

$1200\text{ m}$

C

$1300\text{ m}$

D

$1500\text{ m}$

Question 5: Palette 5/38

DPT MCQ

An athlete completes one round of a circular track of radius $R$ in $40\text{ sec}$. What will be his displacement at the end of $2\text{ min } 20\text{ sec}$?

A

$2\pi R$

B

$7\pi R$

C

$2R$

D

Zero

Question 6: Palette 6/38

DPT MCQ

A wheel of radius $1\text{ meter}$ 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

A

$2\pi$

B

$\sqrt{2}\pi$

C

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

D

$\pi$

Question 7: Palette 7/38

DPT MCQ

A person travels along a straight road for half the distance with velocity $v_1$ and the remaining half distance with velocity $v_2$. The average velocity is given by

A

$v_1 v_2$

B

$\frac{v_2^2}{v_1^2}$

C

$\frac{v_1 + v_2}{2}$

D

$\frac{2 v_1 v_2}{v_1 + v_2}$

Question 8: Palette 8/38

DPT MCQ

A car travels from $A$ to $B$ at a speed of $20\text{ km/hr}$ and returns at a speed of $30\text{ km/hr}$. The average speed of the car for the whole journey is

A

$25\text{ km/hr}$

B

$24\text{ km/hr}$

C

$50\text{ km/hr}$

D

$5\text{ km/hr}$

Question 9: Palette 9/38

DPT MCQ

A boy walks to his school at a distance of $6\text{ km}$ with constant speed of $2.5\text{ km/hr}$ and walks back with a constant speed of $4\text{ km/hr}$. His average speed for round trip expressed in $\text{km/hour}$ is

A

$3$

B

$1/2$

C

$24/13$

D

$40/13$

Question 10: Palette 10/38

DPT MCQ

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

A

$40.0\text{ km/hr}$

B

$42.5\text{ km/hr}$

C

$37.5\text{ km/hr}$

D

$35.0\text{ km/hr}$

Question 11: Palette 11/38

DPT MCQ

One car moving on a straight road covers one third of the distance with $20\text{ km/hr}$ and the rest with $60\text{ km/hr}$. The average speed is

A

$40\text{ km/hr}$

B

$36\text{ km/hr}$

C

$46\frac{2}{3}\text{ km/hr}$

D

$80\text{ km/hr}$

Question 12: Palette 12/38

DPT MCQ

A car moves for half of its time at $80\text{ km/h}$ and for rest half of time at $40\text{ km/h}$. Total distance covered is $60\text{ km}$. What is the average speed of the car?

A

$60\text{ km/h}$

B

$80\text{ km/h}$

C

$120\text{ km/h}$

D

$180\text{ km/h}$

Question 13: Palette 13/38

DPT MCQ

A train has a speed of $60\text{ km/h}$ for the first one hour and $40\text{ km/h}$ for the next half hour. Its average speed in $\text{km/h}$ is

A

$50$

B

$53.33$

C

$48$

D

$70$

Question 14: Palette 14/38

DPT MCQ

A $150\text{ m}$ long train is moving with a uniform velocity of $45\text{ km/h}$. The time taken by the train to cross a bridge of length $850\text{ meters}$ is

A

$56\text{ sec}$

B

$68\text{ sec}$

C

$80\text{ sec}$

D

$92\text{ sec}$

Question 15: Palette 15/38

DPT MCQ

A particle is constrained to move on a straight line path. It returns to the starting point after $10\text{ sec}$. The total distance covered by the particle during this time is $30\text{ m}$. Which of the following statements about the motion of the particle is false?

A

Displacement of the particle is zero

B

Average speed of the particle is $3\text{ m/s}$

C

Displacement of the particle is $30\text{ m}$

D

Both (a) and (b)

Question 16: Palette 16/38

DPT MCQ

A man walks on a straight road from his home to a market $2.5\text{ km}$ away with a speed of $5\text{ km/h}$. Finding the market closed, he instantly turns and walks back home with a speed of $7.5\text{ km/h}$. The average speed of the man over the interval of time $0$ to $40\text{ min}$ is equal to

A

$\frac{30}{4}\text{ km/h}$

B

$5\text{ km/h}$

C

$\frac{25}{4}\text{ km/h}$

D

$\frac{45}{8}\text{ km/h}$

Question 17: Palette 17/38

DPT MCQ

The ratio of the numerical values of the average velocity and average speed of a body is always

A

Unity

B

Unity or less

C

Unity or more

D

Less than unity

Question 18: Palette 18/38

DPT MCQ

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 mean velocity $V$ of the man is

A

$\frac{2}{V} = \frac{1}{v_1} + \frac{1}{v_2}$

B

$V = \frac{v_1 + v_2}{2}$

C

$V = \sqrt{v_1 v_2}$

D

$V = \sqrt{\frac{v_1}{v_2}}$

Question 19: Palette 19/38

DPT MCQ

If a car covers $2/5$ of the total distance with $v_1$ speed and $3/5$ distance with $v_2$ then average speed is

A

$\frac{1}{2}\sqrt{v_1 v_2}$

B

$\frac{v_1 + v_2}{2}$

C

$\frac{2 v_1 v_2}{v_1 + v_2}$

D

$\frac{5 v_1 v_2}{3 v_1 + 2 v_2}$

Question 20: Palette 20/38

DPT MCQ

A particle moves for $20\text{ seconds}$ with velocity $3\text{ m/s}$ and then velocity $4\text{ m/s}$ for another $20\text{ seconds}$ and finally moves with velocity $5\text{ m/s}$ for next $20\text{ seconds}$. What is the average velocity of the particle?

A

$3\text{ m/s}$

B

$4\text{ m/s}$

C

$5\text{ m/s}$

D

$\text{Zero}$

Question 21: Palette 21/38

DPT MCQ

A car travels half the distance with constant velocity of 40 km/h and the remaining half with a constant velocity of 60 km/h. The average velocity of the car in km/h is:

A

40

B

45

C

48

D

50

Question 22: Palette 22/38

DPT MCQ

If a body is thrown up with the velocity of $15\text{ m/s}$ then maximum height attained by the body is ($g = 10\text{ m/s}^2$)

A

$11.25\text{ m}$

B

$16.2\text{ m}$

C

$24.5\text{ m}$

D

$7.62\text{ m}$

Question 23: Palette 23/38

DPT MCQ

A body falls from rest in the gravitational field of the earth. The distance travelled in the fifth second of its motion is ($g = 10\text{ m/s}^2$)

A

$25\text{ m}$

B

$45\text{ m}$

C

$90\text{ m}$

D

$125\text{ m}$

Question 24: Palette 24/38

DPT MCQ

If a ball is thrown vertically upwards with speed $u$, from the image gven below, the distance covered during the last $t$ seconds of its ascent is

A

$\frac{1}{2}gt^2$

B

$ut - \frac{1}{2}gt^2$

C

$(u - gt)t$

D

$ut$

Question 25: Palette 25/38

DPT MCQ

A man throws balls with the same speed vertically upwards one after the other at an interval of $2\text{ seconds}$. What should be the speed of the throw so that more than two balls are in the sky at any time (Given $g = 9.8\text{ m/s}^2$)

A

At least $0.8\text{ m/s}$

B

Any speed less than $19.6\text{ m/s}$

C

Only with speed $19.6\text{ m/s}$

D

More than $19.6\text{ m/s}$

Question 26: Palette 26/38

DPT MCQ

A man drops a ball downside from the roof of a tower of height $400\text{ meters}$. At the same time another ball is thrown upside with a velocity $50\text{ meter/sec}$ from the surface of the tower, then they will meet at which height from the surface of the tower

A

$100\text{ meters}$

B

$320\text{ meters}$

C

$80\text{ meters}$

D

$240\text{ meters}$

Question 27: Palette 27/38

DPT MCQ

A very large number of balls are thrown vertically upwards in quick succession in such a way that the next ball is thrown when the previous one is at the maximum height. If the maximum height is $5\text{ m}$, the number of ball thrown per minute is (take $g = 10\text{ ms}^{-2}$)

A

$120$

B

$80$

C

$60$

D

$40$

Question 28: Palette 28/38

DPT MCQ

A particle is thrown vertically upwards. If its velocity at half of the maximum height is $10\text{ m/s}$, then maximum height attained by it is (Take $g = 10\text{ m/s}^2$)

A

$8\text{ m}$

B

$10\text{ m}$

C

$12\text{ m}$

D

$16\text{ m}$

Question 29: Palette 29/38

DPT MCQ

A stone is shot straight upward with a speed of $20\text{ m/sec}$ from a tower $200\text{ m}$ high. The speed with which it strikes the ground is approximately

A

$60\text{ m/sec}$

B

$65\text{ m/sec}$

C

$70\text{ m/sec}$

D

$75\text{ m/sec}$

Question 30: Palette 30/38

DPT MCQ

A body freely falling from the rest has a velocity $v$ after it falls through a height $h$. The distance it has to fall down for its velocity to become double, is from the image gven below

A

$2h$

B

$4h$

C

$6h$

D

$8h$

Question 31: Palette 31/38

DPT MCQ

A body sliding on a smooth inclined plane requires $4\text{ seconds}$ to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top

A

$1\text{ s}$

B

$2\text{ s}$

C

$4\text{ s}$

D

$16\text{ s}$

Question 32: Palette 32/38

DPT MCQ

A body is projected vertically upwards with a velocity $u$. It crosses a point at a height $h$ after $t_1$ and $t_2$ seconds respectively. The speed of projection $u$ is

A

$\frac{g(t_1 + t_2)}{2}$

B

$g(t_1 + t_2)$

C

$\frac{g(t_1 - t_2)}{2}$

D

$g \sqrt{t_1 t_2}$

Question 33: Palette 33/38

DPT MCQ

Water drops fall at regular intervals from a tap which is $5\text{ m}$ above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant

A

$2.50\text{ m}$

B

$3.75\text{ m}$

C

$4.00\text{ m}$

D

$1.25\text{ m}$

Question 34: Palette 34/38

DPT MCQ

A balloon is at a height of $81\text{ m}$ and is ascending upwards with a velocity of $12\text{ m/s}$. A body of $2\text{ kg}$ weight is dropped from it. If $g = 10\text{ m/s}^2$, the body will reach the surface of the earth in

A

$1.5\text{ s}$

B

$4.025\text{ s}$

C

$5.4\text{ s}$

D

$6.75\text{ s}$

Question 35: Palette 35/38

DPT MCQ

A particle is dropped under gravity from rest from a height $h$ ($g = 9.8\text{ m/s}^2$) and it travels a distance $9h/25$ in the last second, the height $h$ is

A

$100\text{ m}$

B

$122.5\text{ m}$

C

$145\text{ m}$

D

$167.5\text{ m}$

Question 36: Palette 36/38

DPT MCQ

A stone thrown upward with a speed $u$ from the top of the tower reaches the ground with a velocity $3u$. The height of the tower is

A

$3u^2 / g$

B

$4u^2 / g$

C

$6u^2 / g$

D

$9u^2 / g$

Question 37: Palette 37/38

DPT MCQ

A stone dropped from the top of the tower touches the ground in $4\text{ sec}$. The height of the tower is about

A

$80\text{ m}$

B

$40\text{ m}$

C

$20\text{ m}$

D

$160\text{ m}$

Question 38: Palette 38/38

DPT MCQ

A body is released from a great height and falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies, two seconds after the release of the second body is

A

$4.9\text{ m}$

B

$9.8\text{ m}$

C

$19.6\text{ m}$

D

$24.5\text{ m}$