Motion in a Plane PYQs - Last 5 Years

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Practice 42 AP EAPCET Physics questions from Motion in a Plane. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 5 Years Motion in a Plane Questions

Showing 42 of 42 filtered questions.

1Motion In A Plane

If two bodies $A$ and $B$ are projected with same velocity but with different angles $\theta_1$ and $\theta_2$ respectively with the horizontal such that both will have same range, then the ratio of times of flight of the bodies $A$ and $B$...

2Motion In A Plane

If the horizontal range of a body projected with a velocity ' $u$ ' is 3 times the maximum height reached by it, then the range of the body is
( $g=$ Acceleration due to gravity)

3Motion In A Plane

If the velocity at the maximum height of a projectile projected at an angle of $45^{\circ}$ is $20 \mathrm{~ms}^{-1}$, then the maximum height reached by the projectile is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

4Motion In A Plane

If a body of mass 2 kg moving with initial velocity of $4 \mathrm{~ms}^{-1}$ is subjected to a force of 3 N for a time of 2 s normal to the direction of its initial velocity, then the resultant velocity of the body is

5Motion In A Plane

If the height of a projectile at a time of 2 s from the beginning of motion is 60 m , then the time of flight of the projectile is
(Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

6Motion In A Plane

If the range of a body projected with a velocity of $60 \mathrm{~ms}^{-1}$ is $180 \sqrt{3} \mathrm{~m}$, then the angle of projection of the body is
(Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

7Motion In A Plane

The angle of projection of a projectile whose path is shown in the given figure is

8Motion In A Plane

If the equation of motion of a projectile is $y=A x-B x^2$, then the ratio of the maximum height reached and the range of the projectile is

9Motion In A Plane

A particle crossing the origin at time $t=0$ moves in the $X Y$-plane with a constant acceleration ' $a$ ' in $y$-direction. If the equation of motion of the particle is $y=b x^2$ (where $b$ is a constant), then its velocity component in th...

10Motion In A Plane

The height of ceiling in an auditorium is 30 m . A ball is thrown with a speed of $30 \mathrm{~ms}^{-1}$ from the entrance such that it just moves very near to the ceiling without touching it and then it reaches the ground at the end of the...

11Motion In A Plane

If a ball projected vertically upwards with certain initial velocity from the ground crosses a point at a height of 25 m twice in a time interval of 4 s , then the initial velocity of the ball is
(Acceleration due to gravity $=10 \mathrm{~m...

12Motion In A Plane

A car is moving with a velocity of $4 \mathrm{~ms}^{-1}$ towards east. After a time of 4 s , if it is heading north-east with a velocity of $4 \sqrt{2} \mathrm{~ms}^{-1}$, then the average velocity of the car is

13Motion In A Plane

A body of mass 5 kg starts from the origin with an initial velocity $(30 \hat{\mathbf{i}}+40 \hat{\mathbf{j}}) \mathrm{ms}^{-1}$. If a constant force $-(\hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{N}$ acts on the body, then the time in whi...

14Motion In A Plane

If bullets are fired in all possible directions from same point with equal velocity of $10 \mathrm{~ms}^{-1}$ and with an angle of projection $45^{\circ}$, then the area covered by the bullets on the ground is nearly
(Acceleration due to gr...

15Motion In A Plane

A ball is projected from a point with a speed $V_0$ at certain angle with the horizontal. From the same point and at the same instant, a person starts running with a constant speed $0.5 V_0$ to catch the ball. If the person catches the ball...

16Motion In A Plane

A bowling machine placed at a height $h$ above the earth surface releases different balls with different angles but with same velocity $10 \sqrt{3} \mathrm{~ms}^{-1}$. All these balls landing velocities make angels $30^{\circ}$ or more with...

17Motion In A Plane

Path of projectile is given by the equation $Y=P x-Q x^2$, match the following accordingly (acceleration due to gravity $=g$ )
$$ \begin{array}{llll} \hline \text { a. } & \text { Range } & \text { i } & \frac{P}{Q} \\ \hline \text { b. } &...

18Motion In A Plane

A boy weighing 50 kg finished long jump at a distance of 8 m . Considering that he moved along a parabolic path and his angle of jump is $45^{\circ}$, his initial KE is

19Motion In A Plane

The relation between the horizontal displacement $x$ (in metre) and the vertical displacement $y$ (in metre) of a projectile is $y=3 x-0.8 x^2$. The time of flight of the projectile is (Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ ...

20Motion In A Plane

A ball at point $O$ is at a horizontal distance of 7 m from a wall. On the wall a target is set at point $C$. If the ball is throw from $O$ at an angle $37^{\circ}$ with horizontal aiming the target $C$. But it hits the wall at point $D$ wh...

21Motion In A Plane

A boy throws a ball with a velocity $v_0$ at an angle $\alpha$ to the ground. At the same time he starts running with uniform velocity to catch the ball before it hits the ground. To achieve this, he should run with a velocity of

22Motion In A Plane

The horizontal range of a projectile projected at an angle of $45^{\circ}$ with the horizontal is 50 m . The height of the projectile when its horizontal displacement is 20 m is

23Motion In A Plane

A body of mass 1.5 kg is moving towards south with a uniform velocity of $8 \mathrm{~ms}^{-1}$. A force of 6 N is applied to the body towards east. The displacement of the body 3 s after the application of the force is

24Motion In A Plane

The maximum height attained by projectile is increased by $10 \%$ by keeping the angle of projection constant. What is the percentage increase in the time of flight ?

25Motion In A Plane

A projectile can have the same range $R$ for two angles of projection. Their initial velocities are same. If $T_1$ and $T_2$ are times of flight in two cases, then the product of two times of flight is directly proportional to

26Motion In A Plane

If two stones are projected at angle $\theta$ and $\left(90^{\circ}-\theta\right)$ respectively with horizontal with a speed of $20 \mathrm{~ms}^{-1}$. If second stone rises 10 m higher than the first stone then, the angle of projection $\t...

27Motion In A Plane

An object of mas $m$ is projected with an initial velocity $u$ with angle of $\theta$ with the horizontal. The average power delivered by gravity in reaching the highest point

28Motion In A Plane

A 2 kg ball thrown vertically upward and another 3 kg ball projected with certain angle $\left(\theta \neq 90^{\circ}\right)$ both will have same time of flight, then this ratio of their maximum heights is

29Motion In A Plane

In a sport event, a disc is thrown such that it reaches its maximum range of 80 m , the distance travelled in first 3 s is $\left(g=10 \mathrm{~ms}^{-2}\right)$

30Motion In A Plane

Ball is projected at an angle of $45^{\circ}$ with the horizontal．It passes through a wall of height $h$ at a horizontal distance $d_1$ from the point of profection and strikes the ground at a distance $d_1+d_2$ from the point of projection...

31Motion In A Plane

second after projection，a projectile is travelling in a direction inclined at $45^{\circ}$ to horizontal．After two more seconds，it is travelling horizontally．Then，the magnitude of velocity of the projectile is $\left(g=10 \mathrm{~ms}^{-2}\...

32Motion In A Plane

Object is projected such that it has to attain maximum range. Another body is projected to reach maximum heigh. If both the objects reached the same maximum height, then the ratio of initial velocities

33Motion In A Plane

A stone thrown with velocity $u$ at angles $\theta$ and $\left(90^{\circ}\right.$ $-\theta$ ) with the horizontal reaches to maximum heights $H_1$ and $H_2$ respectively. Its horizontal range is

34Motion In A Plane

A projectile is launched from the ground, such that it hits a target on the ground which is 90 m away. The minimum velocity of projectile to hit the target is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\))

35Motion In A Plane

A car travels with a speed of \(40 \mathrm{~km} \mathrm{~h}^{-1}\). Rain drops are falling at a constant speed vertically. The traces of the rain on the side windows of the car make an angle of \(30^{\circ}\) with the vertical. The magnitud...

36Motion In A Plane

A projectile with speed \(50 \mathrm{~ms}^{-1}\) is thrown at an angle of \(60^{\circ}\) with the horizontal. The maximum height that can be reached is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\))

37Motion In A Plane

A force \(\mathbf{F}_1\) of magnitude 4 N acts on an object of mass 1 kg , at origin in a direction \(30^{\circ}\) above the positive \(X\)-axis. A second \(F_2\) of magnitude 4 N acts on the same object in the direction of the positive $$Y...

38Motion In A Plane

A boy throws a cricket ball from the
boundary to the wicket keeper. If the
frictional force due to air \((f_a )\) cannot be
ignored, the forces acting on the ball at the
position X are represented by

39Motion In A Plane

Two paper screens \(A\) and \(B\) are separated by \(150 \mathrm{~m}\). A bullet pierces \(A\) and than \(B\). The hole in \(B\) is \(15 \mathrm{~cm}\) below the hole in \(A\). If the bullet is travelling horizontally at the time of hitting...

40Motion In A Plane

A hiker stands on the edge of a cliff \(490 \mathrm{~m}\) above the ground and throws a stone horizontally with an initial speed of \(15 \mathrm{~ms}^{-1}\). The speed with which it hits the ground is

41Motion In A Plane

When a ball is thrown with a velocity of 50 ms\(^{-1}\) at an angle 30\(\Upsilon\) with the horizontal, it remains in the air for ......... s.
(Take, g = 10 ms\(^{-2}\))

42Motion In A Plane

A particle of mass m is projected with a
velocity u making an angle \(\theta\) with the
horizontal. The magnitude of angular
momentum of the projectile about the point
of projection when the particle is at its
maximum height is