Recent questions tagged motion-in-a-plane

The equation of trajectory of a projectile is given by $y=x -\large\frac{x^2}{100}$ Find velocity of projection .

asked Jul 15, 2014 by meena.p

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It is possible to project a particle with a given velocity in two possible ways so as to make it pass through a point at a horizontal distance R from the point of projection .If $H_1$ and $H_2$ are the corresponding maximum height and $H$ is maximum height when the particle is projected at $45^{\circ}$ with the same speed, then what is $H_1+H_2$

asked Jul 15, 2014 by meena.p

1 answer

It is possible to project a particle with a given velocity in two possible ways so as to make it pass through a point at a horizontal distance R from the point of projection . If $t_1$ and $t_2$ are the time taken to reach this point in two possible ways then what is $t_1t_2$?

asked Jul 15, 2014 by meena.p

1 answer

A ball rolls off the top of a stairway with a velocity u. If the height of each step is h, the breadth is b and the ball hits the edge of nth steps, the find the value of n.

asked Jul 15, 2014 by meena.p

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A man can throw a stone 60 m away . How high can he throw the stone vertically upward?

asked Jul 15, 2014 by meena.p

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A car travels east at a speed of $30m/s^{-1}$ . It turns left through an angle of $90^{\circ}$ and continues to travel with the same speed. What is the change in its velocity ?

asked Jul 15, 2014 by meena.p

1 answer

A body is projected with speed $v_1$ at an angle of $45^{\circ}$ to the horizontal from a point A. At the same instant, another body is projected vertically below the highest point of the path of the first body, Both the bodies will collide if $v_1/v_2$ is

asked Jul 14, 2014 by meena.p

1 answer

A projectile is thrown with velocity u making angle $\theta$ with vertical. It just crosses the tops of two poles each of height h after 1 second respectively. The maximum height of projectile is

asked Jul 14, 2014 by meena.p

1 answer

From a point on the group at a distance 2 meters from the foot of a vertical wall , a ball is thrown at an angle $45^{\circ}$ which just clear the top of the wall and afterwards strikes the ground at a distance 4 m on the other side. The height of the wall is

asked Jul 14, 2014 by meena.p

1 answer

The velocity at the maximum height of a projectile is half of its initial velocity of projection u. Its range on horizontal plane is

asked Jul 14, 2014 by meena.p

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A body is projected at an angle $30^{\circ}$ to the horizontal with a speed $39.2 ms^{-1}$.What is the angle of projectile with the horizontal after 2 seconds ? (take $g= 9.8\;ms^{-2} )$

asked Jul 14, 2014 by meena.p

1 answer

The velocity of projection of an oblique projectile is $(6i +8j)m/s$ . The horizontal range of projectile is $( g=10 m/s)^2$

asked Jul 14, 2014 by meena.p

1 answer

The range of projectile which is launch at an angle of $15^{\circ}$ with the horizontal is $1.5 \;km$ what is the range of the projectile if it is projected at an angle of $45^{\circ}$ to the horizontal ?

asked Jul 14, 2014 by meena.p

1 answer

Two bodies are projected from the same point with the same speed but in different directions so as to have the same range. The ratio of their times of flight are .

asked Jul 11, 2014 by meena.p

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The greatest distance to which a man throw a stone is a. The greatest height to which he can throw it will be

asked Jul 11, 2014 by meena.p

1 answer

An object is thrown along a direction inclined at an angle of $45^{\circ}$ with the horizontal range of the particle is equal to

asked Jul 11, 2014 by meena.p

1 answer

The direction of the angular velocity vector is along

asked Nov 25, 2013 by meena.p

1 answer

A wheel is rotating at $900 \;rpm$ about its axis. When the power is cut off, it comes to rest in 1 minute. The angular retardation in $rad/s^2$ is

asked Nov 25, 2013 by meena.p

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The wheel of a car is rotating at the rate of 1200 revolutions per minute. On pressing the acceleration for 10 seconds, it starts rotating at 4500 revolutions per minute. The angular acceleration of the wheel is

asked Nov 25, 2013 by meena.p

1 answer

When a ceiling fan is switched on, it makes 10 rotations in the first 3 seconds. Assuming uniform angular acceleration, of how many revolutions it will make in the next 3 seconds?

asked Nov 25, 2013 by meena.p

1 answer

A wheel rotates with a constant acceleration of $2.0\;radians /s^2$. If the wheel starts from rest, the number of revolutions it makes in the first $10$ seconds will be approximately

asked Nov 25, 2013 by meena.p

1 answer

A wheel has a speed of 1200 revolution per minute and is made to slow down at a rate of $4\;radian/s^2$. The number of revolutions it makes before coming to rest is

asked Nov 25, 2013 by meena.p

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If a fly wheel makes 120 revolutions per minute then its angular speed will be

asked Nov 25, 2013 by meena.p

1 answer

An aircraf flies a $400 km/hr$ in still air. A wind of $200 \sqrt 2 km/hr$ is blowing from south. A pilot wishes to travel from A to a point B north east of A .Find the direction he must steer and time of journey if $AB=1000km$

asked Jul 4, 2013 by meena.p

1 answer

If initial velocity of projection is $10 m/s$ and angle of projection is $60 ^{\circ}$, find range R.

asked Jul 3, 2013 by meena.p

1 answer

A ball rolls off top of a stair way with horizontal velocity $u\; m/s$ If height of each step is h and width of each step is b the ball will hit the edge of $n^{th}$ step if $n$ is equal to

asked Jul 3, 2013 by meena.p

1 answer

Distance between frog and an insect on a horizontal plane is 10m. Frog can jump with maximum speed of $\sqrt {10}m/s$ minimum number of jumps required by the frog to catch the insect is

asked Jul 3, 2013 by meena.p

1 answer

The path followed by a body projected along y axis is given by $y=\sqrt 3 x-\large\frac{1}{2}$$ x^2$. If $g=10 m/s^2$ Then initial velocity of projectile is

asked Jul 3, 2013 by meena.p

1 answer

An aeroplane is moving with horizontal velocity u at a height h. The velocity of a packet dropped from it on the earth's surface will be

asked Jul 3, 2013 by meena.p

1 answer

A particle moves in the plane according to the law $x=kt$, $y=kt(1- \alpha t)$ where $k$ and $\alpha$ are positive constants, t is time. The particle trajectory $ y(x) $ is

asked Jul 2, 2013 by meena.p

1 answer

A partical A is projected with an initial velocity of $60 m/s$ at an angle $30 ^{\circ}$ to horizontal . At the same time a second particle B is projected in the opposite direction with initial speed of $50 m/s$ from a point at a distance of $100 m$ from A. If the particle collide in mid air. find the angle of projection $\alpha$ of particle B.$(g=10 m/s^2)$

asked Jul 2, 2013 by meena.p

1 answer

A body is thrown horizontally from top of a tower and strikes the ground after three seconds at an angle $45^{\circ}$ with horizontal. Find the height of the tower and initial speed of body.

asked Jul 2, 2013 by meena.p

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There are two angles of projection for which the horizontal range is same. The sum of maximum heights for these two angles is

asked Jul 2, 2013 by meena.p

1 answer

A projectile is given an initial velocity of $\hat i+2 \hat j$. The cartesian equation of its path is $(g=10 m/s^2)$. ($\hat i$ vector along horizontal $\hat j$ vector along vertically upward)

asked Jul 1, 2013 by meena.p

1 answer

The trajectory of a projectile in a vertical plane is $y=ax-bx^2$ where $a$ and $b$ are constants. The maximum height attained by the particle and the angle of projection from horizontal are

asked Jul 1, 2013 by meena.p

2 answers

A particle is projected up an inclined plane with initial speed $v=20 m/s$ at an angle $\theta=30 ^{\circ}$, with the plane. The component of its velocity perpendicular to plane when it strikes the plane is

asked Jul 1, 2013 by meena.p

1 answer

Rain is falling vertically with a speed of $20\;ms^{-1}$. A person is running in rain (from east) with a velocity of $5 ms^{-1}$ and a wind is blowing with speed of $15ms ^{-1}$ (from west).The angle with the vertical at which the person should hold his umbrella is

asked Jun 28, 2013 by meena.p

1 answer

A river is flowing with speed of 1km/hr.A swimmer wants to go to point C starting from point A. He swims with a speed of 5 km/hr at an angle $\theta$with respect to the river. If $AB=BC=400m$ Then

asked Jun 28, 2013 by meena.p

1 answer

A car starts with constant acceleration $ a=2 m/s^2$ at $t=0$ Two coins are released from the car at $t=3$ and $t=4$. Each coin takes 1 second to reach the ground.Then distance between two coins is (assume the coin stick to ground)

asked Jun 27, 2013 by meena.p

1 answer

A motor boat is to reach at a point $30^{\circ}$ upstream on the otherside of river flowing with velocity $5m/s$. Velocity of motor boat with respect to water is $5 \sqrt3 m/s$ .The driver should steer the boat at an angle

asked Jun 27, 2013 by meena.p

1 answer

Starting from rest, a particle rotates in a circle of radius $R=\sqrt 2 m$ with an angular acceleration $a=\large\frac{\pi}{4} $$rad/s^2$. The magnitude of average velocity of particle over time when it rotates quarter circle is

asked Jun 27, 2013 by meena.p

1 answer

A ball of mass m is attached to one end of a light rod of length $l$, other end of which is hinged . What minimum velocity 'v' should be imparted to the ball downwards so that it can complete the circle

asked Jun 27, 2013 by meena.p

1 answer

To a man walking at the rate of 3 km/hr the rain appears to fall vertically. When he increases the speed to 6 km/hr it appears to meet him at an angle of $45^{\circ}$ with vertical. Find the speed of rain.

asked Jun 26, 2013 by meena.p

1 answer

A particle A is projected from the ground with an initial velocity of 10 m/s at an angle $60 ^{\circ}$ with horizontal. From what height h should another particle B be projected horizontally with velocity 5 m/s. so both the particle collide in the ground at point C if both are projected simultaneously $(g=10 m/s^2)$

asked Jun 26, 2013 by meena.p

1 answer

Time taken to reach A to B for a projectile is 't'. Then the distance AB is equal to

asked Jun 26, 2013 by meena.p

1 answer

At a height 0.4 m from the ground the velocity of particle projected in angle $\theta$ is $\hat v=(6 i+ 2 j)m/s$ The angle of projection $\theta$ is $(g=10 m/s^2)$

asked Jun 26, 2013 by meena.p

1 answer

A ball is projected horizontaly with a speed v from top of a plane inclined at an angle $45^{\circ}$ with the horizontal. How far from the point of projection will the ball strike the plane

asked Jun 24, 2013 by meena.p

1 answer

The time taken by a particle to slide down a smooth inclined plane is double the time it would take in falling down along a height equal to vertical height of the plane. The inclination of the plane with horizontal is

asked Jun 24, 2013 by meena.p

1 answer

A river is flowing with a speed of 1km/hr. A swimmer wants to go to point 'C'. Starting from 'A', he swims with a speed of 5 km/hr at an angle $ \theta$ w.r.t the river. If $AB=BC=400 m$. Then

asked Jun 24, 2013 by meena.p

1 answer

Two fixed frictionless inclined planes making angle $30 ^{\circ}$ and $60 ^{\circ}$ with the vertical are shown. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B

asked Jun 24, 2013 by meena.p

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