OneTime: Motion In Two Dimensions

Question 1

A particle is projected from point O with velocity u in a direction making an angle α with the horizontal. At any instant its position is at point p at right angles to the initial direction of projection, Its velocity at point p is:

Accepted Answer

u cot &alpha;

Answer

u tan &alpha;

Answer

u sec &alpha;

Answer

u cosec &alpha;

Question 2

Pankaj and Sudhir are playing with two different balls of masses m and 2m, respectively. If Pankaj throws his ball vertically up and Sudhir at an angle θ, both of them stay in our view for the same period. The height attained by the two balls are in the ratio:

Accepted Answer

1 : 1

Answer

2 : 1

Answer

1 : cos &theta;

Answer

1 : sec &theta;

Question 3

A ship A sailing due east with a velocity of 10 km/h happens to appear sailing due north with a velocity of 5 km/h, to a person, sitting in a moving ship B. Determine the velocity (absolute) of ship B.
.

.

Accepted Answer

5√5 km/h, tan⁻¹(1/2) S of E

Answer

5√5 km/h, tan⁻¹(1/2) E of S

Answer

4√5 km/h, tan⁻¹(1/2) S of E

Answer

4√5 km/h, tan⁻¹(1/2) E of S

Question 4

A boy projects a stone vertically perpendicular to the trolley car with a speed v. If the trolley car moves with u constant velocity m, the time of flight of the stone is:

Accepted Answer

Answer

Answer

Answer

None of These

Question 5

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

Accepted Answer

The acceleration vector is tangent to the circle.

Answer

The acceleration vector points to the centre of the circle.

Answer

The velocity vector is tangent to the circle.

Answer

The velocity and acceleration vectors are perpendiculai to each other.

Question 6

A particle is moving on a circular path of radius r with uniform velocity v. The change in velocity when the particle moves from P to Q is (∠POQ=40^∘).

Accepted Answer

2v sin 20^∘

Answer

2v cos 40^∘

Answer

2v sin 40^∘

Answer

2v cos 20^∘

Question 7

A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following.

Accepted Answer

Parabolic path

Answer

Straight path

Answer

Circular path

Answer

Hyperbolic path

Question 8

An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is:

Accepted Answer

3.33 km

Answer

1200 m

Answer

0.33 km

Answer

33 km

Question 9

A ball is rolled off the edge of a horizontal table at a speed of 4 m/second. It hits the ground after 0.4 second. Which statement given below is true.

Accepted Answer

Question 10

A particle is dropped from a height and another particle is thrown in horizontal direction with speed of 5 m/sec from the same height. The correct statement is:

Accepted Answer

Both particles will reach at ground simultaneously.

Answer

Both particles will reach at ground with same speed.

Answer

Particle will reach at ground first with respect to particle.

Answer

None of these

Question 11

A projectile fired with initial velocity u at some angle θ has a range R. If the initial velocity be doubled at the same angle of projection, then the range will be:

Accepted Answer

4R

Answer

2R

Answer

R/2

Answer

R

Question 12

Assertion: In projectile motion, the angle between the instantaneous velocity and acceleration at the highest point is 180^∘.
Reason: At the highest point, velocity of projectile will be in horizontal direction only.

Accepted Answer

If assertion is false but reason is true.

Answer

If both assertion and reason are true and the reason is the correct explanation of the assertion.

Answer

If both assertion and reason are true but reason is not the correct explanation of the assertion.

Answer

If assertion is true but reason is false.

Answer

If the assertion and reason both are false.

Question 13

Assertion: The maximum horizontal range of projectile is proportional to square of velocity.
Reason: The maximum horizontal range of projectile is equal to maximum height attained by projectile.

Accepted Answer

If assertion is true but reason is false.

Answer

If both assertion and reason are true and the reason is the correct explanation of the assertion.

Answer

If both assertion and reason are true but reason is not the correct explanation of the assertion.

Answer

If the assertion and reason both are false.

Answer

If assertion is false but reason is true.

Question 14

The radius vector describing the position of the particle A relative to origin.
2-D Kinematics/Motion in plane Problems with Solutions for JEE Main & JEE Advanced
Find the rectangular components of the average velocity in the time interval between t and t + Δ t.

Accepted Answer

(Δ t + 2t), (Δ t + 2t - 2)

Answer

(Δ t - 2t), (Δ t + 2t - 2)

Answer

(Δ t - t), (Δ t + 2t + 2)

Answer

(Δ t + t), (Δ t + 2t )

Question 15

The radius vector describing the position of the particle A relative to origin.
2-D Kinematics/Motion in plane Problems with Solutions for JEE Main & JEE Advanced

Which of the following statements are true about the motion.

Accepted Answer

OneTime: Motion In Two Dimensions for NEET Physics Class 11 - Free MCQ

MCQ Practice Test & Solutions: OneTime: Motion In Two Dimensions (15 Questions)

A particle is projected from point O with velocity u in a direction making an angle α with the horizontal. At any instant its position is at point p at right angles to the initial direction of projection, Its velocity at point p is:

Pankaj and Sudhir are playing with two different balls of masses m and 2m, respectively. If Pankaj throws his ball vertically up and Sudhir at an angle θ, both of them stay in our view for the same period. The height attained by the two balls are in the ratio:

A ship A sailing due east with a velocity of 10 km/h happens to appear sailing due north with a velocity of 5 km/h, to a person, sitting in a moving ship B. Determine the velocity (absolute) of ship B.
.

A boy projects a stone vertically perpendicular to the trolley car with a speed v. If the trolley car moves with u constant velocity m, the time of flight of the stone is:

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

A particle is moving on a circular path of radius r with uniform velocity v. The change in velocity when the particle moves from P to Q is (∠POQ=40^∘).

A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following.

An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is:

A ball is rolled off the edge of a horizontal table at a speed of 4 m/second. It hits the ground after 0.4 second. Which statement given below is true.

A particle is dropped from a height and another particle is thrown in horizontal direction with speed of 5 m/sec from the same height. The correct statement is:

A projectile fired with initial velocity u at some angle θ has a range R. If the initial velocity be doubled at the same angle of projection, then the range will be:

Assertion: In projectile motion, the angle between the instantaneous velocity and acceleration at the highest point is 180^∘.
Reason: At the highest point, velocity of projectile will be in horizontal direction only.

Assertion: The maximum horizontal range of projectile is proportional to square of velocity.
Reason: The maximum horizontal range of projectile is equal to maximum height attained by projectile.

The radius vector describing the position of the particle A relative to origin.

Find the rectangular components of the average velocity in the time interval between t and t + Δ t.

The radius vector describing the position of the particle A relative to origin.

Which of the following statements are true about the motion.

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OneTime: Motion In Two Dimensions for NEET Physics Class 11 - Free MCQ

MCQ Practice Test & Solutions: OneTime: Motion In Two Dimensions (15 Questions)

A particle is projected from point O with velocity u in a direction making an angle α with the horizontal. At any instant its position is at point p at right angles to the initial direction of projection, Its velocity at point p is:

Pankaj and Sudhir are playing with two different balls of masses m and 2m, respectively. If Pankaj throws his ball vertically up and Sudhir at an angle θ, both of them stay in our view for the same period. The height attained by the two balls are in the ratio:

A ship A sailing due east with a velocity of 10 km/h happens to appear sailing due north with a velocity of 5 km/h, to a person, sitting in a moving ship B. Determine the velocity (absolute) of ship B..

A boy projects a stone vertically perpendicular to the trolley car with a speed v. If the trolley car moves with u constant velocity m, the time of flight of the stone is:

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

A particle is moving on a circular path of radius r with uniform velocity v. The change in velocity when the particle moves from P to Q is (∠POQ=40∘).

A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following.

An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is:

A ball is rolled off the edge of a horizontal table at a speed of 4 m/second. It hits the ground after 0.4 second. Which statement given below is true.

A particle is dropped from a height and another particle is thrown in horizontal direction with speed of 5 m/sec from the same height. The correct statement is:

A projectile fired with initial velocity u at some angle θ has a range R. If the initial velocity be doubled at the same angle of projection, then the range will be:

Assertion: In projectile motion, the angle between the instantaneous velocity and acceleration at the highest point is 180∘. Reason: At the highest point, velocity of projectile will be in horizontal direction only.

Assertion: The maximum horizontal range of projectile is proportional to square of velocity. Reason: The maximum horizontal range of projectile is equal to maximum height attained by projectile.

The radius vector describing the position of the particle A relative to origin. Find the rectangular components of the average velocity in the time interval between t and t + Δ t.

The radius vector describing the position of the particle A relative to origin. Which of the following statements are true about the motion.

Physics Class 11

Physics Class 11

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A ship A sailing due east with a velocity of 10 km/h happens to appear sailing due north with a velocity of 5 km/h, to a person, sitting in a moving ship B. Determine the velocity (absolute) of ship B.
.

A particle is moving on a circular path of radius r with uniform velocity v. The change in velocity when the particle moves from P to Q is (∠POQ=40^∘).

Assertion: In projectile motion, the angle between the instantaneous velocity and acceleration at the highest point is 180^∘.
Reason: At the highest point, velocity of projectile will be in horizontal direction only.

Assertion: The maximum horizontal range of projectile is proportional to square of velocity.
Reason: The maximum horizontal range of projectile is equal to maximum height attained by projectile.

The radius vector describing the position of the particle A relative to origin.

Find the rectangular components of the average velocity in the time interval between t and t + Δ t.

The radius vector describing the position of the particle A relative to origin.

Which of the following statements are true about the motion.