- Vectors in Physics
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- Two Dimensional Motion
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- Motion in a plane with constant acceleration
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- Relative Velocity in two dimension
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- Projectile Motion
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- Uniform circular motion
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- Motion in three dimensions
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- Sample Problems with Solutions

where

Find the trajectory of the particle

a. Circle

b. Parabola

c. Eclipse

d. None of the above

Solution

Find the average velocity of the particle from t=0 to

Solution

Find the scalar Product of Acceleration and velocity at any point t

a. 1

b. -1

c. 0

d. None of the above

Solution

Find the tangential acceleration at any point of time t

Solution

Find the radial acceleration at any point of time t

Solution

Solution

Find the relative velocity of particle B w.r.t to A at time t

a. $-u(\mathbf{i}+\mathbf{j})$

b. $u(\mathbf{i}+\mathbf{j})$

c. $0$

d. none of the above

Solution

Find the relative velocity of particle A w.r.t to B at time t

a. $-u(\mathbf{i}+\mathbf{j})$

b. $u(\mathbf{i}+\mathbf{j})$

c. $0$

d. none of the above

Solution

find the relative position vector of particle A w.r.t to B at time t

a. $-ut(\mathbf{i}+\mathbf{j})$

b. $ut(\mathbf{i}+\mathbf{j})$

c. $0$

d. none of the above

Solution

A particle moves 4 km North East and reach position A and then moves 3 Km South East to reach the position B. Let assume the initial point has co-ordinates (0, 0).And Co-ordinates of the position A and B are

A -> (x

B -> (x

Also

Find out the following

a.Find out the co-ordinates of Position A and B

b.Find out the distance of point B from the Origin

c.Find out the position vector of point A and B

Solution

An object is fired upward at an angle 40° to the horizontal .The object is fired with an initial speed of 20m/s.

Find out the following

a. How high up will it strike a wall which is 8 m away

b. How much time it will take to strike the wall

c. What are the horizontal and vertical components of velocity when it strike the wall

Solution

The position of a particle is given by the below equation

$\mathbf{R}= (2sin2 \pi t)\mathbf{i} + (3cos2 \pi t)\mathbf{j} $

a. Find out the trajectory of the particle

b. Find out the velocity and acceleration vector and the relation between the acceleration and position vector.

c. Find out the times when velocity becomes maximum and minimum.

d. Find out the time dependence of the angle α between velocity and acceleration vector

e. Find the angle α at t=0 and t=1/4

Solution

A ball is thrown upward from a point O on the side of a hill which slopes upward uniformly at an angle 30°.Intial Velocity of the ball is $v_0$ and it is thrown at an angle 60° with respect to horizontal.

a. Find out the range along the slope of the hill

b. Find out the Time period of the Projectile

c. What height above the point O ,ball strike the incline plane

d. What velocity does the ball strike the plane

Solution

A particle moves in the plane

a. The equation of particle’s trajectory y(x)

b. The curvature radius of trajectory as a function of x.

Solution

A boy is standing at a distance $a_1$ from the foot of a tower. The boy throws an stone at a angle 45° which just touches the top of the tower and strikes the ground at a distance $a_2$ from the point the boy is standing. Find the height of the tower

Solution

A ball is thrown upward from a point on the side of a hill which slopes upward uniformly at angle 28°.Intial velocity of the ball is v

Solution

A Cannon on a level plain is aimed at an angle θ above the horizontal. A shell is fired with a muzzle velocity v

a find the time taken to reach the pole

b. find the value of H in terms of θ,R and v

Solution

The current velocity of a river grows in proportion to the distance from its bank and reaches its maximum v

a. Find the velocity of the current at a distance y from the bank ( y<b/2)

b. Find the velocity of the boat relative to ground at any point on it path ( y<b/2)

c. Find the velocity of the boat relative to ground at any point on it path ( b/2< y < b)

d. Find the acceleration also on both the above distances

e. Find the distance through which the boat crossing the river will be carried away by the current

f. Find the trajectory of the boat

Solution

Class 11 Maths Class 11 Physics Class 11 Chemistry

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