Maths-

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### Question

#### The values of satisfying and are

#### The correct answer is:

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### Related Questions to study

physics-

#### A body of mass is resting on a wedge of angle as shown in figure. The wedge is given at acceleration . What is the value of a son that the mass just falls freely?

The horizontal acceleration of the wedge should be such that in time the wedge moves the horizontal distance . The body must fall through a vertical distance under gravity. Hence,

and

tanor

and

tanor

#### A body of mass is resting on a wedge of angle as shown in figure. The wedge is given at acceleration . What is the value of a son that the mass just falls freely?

physics-General

The horizontal acceleration of the wedge should be such that in time the wedge moves the horizontal distance . The body must fall through a vertical distance under gravity. Hence,

and

tanor

and

tanor

physics-

#### A cyclist starts from the centre of a circular park of radius one kilometre, reaches the edge of the park, then cycles along the circumference and returns to the centre along as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is

Net displacement and total distance

Average speed

Average speed

#### A cyclist starts from the centre of a circular park of radius one kilometre, reaches the edge of the park, then cycles along the circumference and returns to the centre along as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is

physics-General

Net displacement and total distance

Average speed

Average speed

physics-

#### A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)

In the positive region the velocity decreases linearly (during rise) and in the negative region velocity increases linearly (during fall) and the direction is opposite to each other during rise and fall, hence fall is shown in the negative region

#### A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)

physics-General

In the positive region the velocity decreases linearly (during rise) and in the negative region velocity increases linearly (during fall) and the direction is opposite to each other during rise and fall, hence fall is shown in the negative region

physics-

#### Which of the following graphs cannot possibly represent one dimensional motion of a particle

I is not possible because total distance covered by a particle increases with time

II is not possible because at a particular time, position cannot have two values

III is not possible because at a particular time, velocity cannot have two values

IV is not possible because speed can never be negative

II is not possible because at a particular time, position cannot have two values

III is not possible because at a particular time, velocity cannot have two values

IV is not possible because speed can never be negative

#### Which of the following graphs cannot possibly represent one dimensional motion of a particle

physics-General

I is not possible because total distance covered by a particle increases with time

II is not possible because at a particular time, position cannot have two values

III is not possible because at a particular time, velocity cannot have two values

IV is not possible because speed can never be negative

II is not possible because at a particular time, position cannot have two values

III is not possible because at a particular time, velocity cannot have two values

IV is not possible because speed can never be negative

physics-

#### Which of the following graphs cannot possibly represent one dimensional motion of a particle

I is not possible because total distance covered by a particle increases with time

II is not possible because at a particular time, position cannot have two values

III is not possible because at a particular time, velocity cannot have two values

IV is not possible because speed can never be negative

II is not possible because at a particular time, position cannot have two values

III is not possible because at a particular time, velocity cannot have two values

IV is not possible because speed can never be negative

#### Which of the following graphs cannot possibly represent one dimensional motion of a particle

physics-General

II is not possible because at a particular time, position cannot have two values

III is not possible because at a particular time, velocity cannot have two values

IV is not possible because speed can never be negative

maths-

#### The solution of is

#### The solution of is

maths-General

maths-

#### If

#### If

maths-General

physics-

#### Acceleration velocity graph of a particle moving in a straight line is as shown in figure. The slope of velocity-displacement graph

From acceleration-velocity graph, we have where is a constant which represents the slope of the given line.

As, so

or constant

Thus, the slope of velocity-displacement graphs is same as that of acceleration velocity. Which is constant.

As, so

or constant

Thus, the slope of velocity-displacement graphs is same as that of acceleration velocity. Which is constant.

#### Acceleration velocity graph of a particle moving in a straight line is as shown in figure. The slope of velocity-displacement graph

physics-General

From acceleration-velocity graph, we have where is a constant which represents the slope of the given line.

As, so

or constant

Thus, the slope of velocity-displacement graphs is same as that of acceleration velocity. Which is constant.

As, so

or constant

Thus, the slope of velocity-displacement graphs is same as that of acceleration velocity. Which is constant.

maths-

#### If then solutions of are in -

#### If then solutions of are in -

maths-General

maths-

#### In , care in H.P., then , Sin2 , Sin2 are in

are in are in are in

#### In , care in H.P., then , Sin2 , Sin2 are in

maths-General

are in are in are in

maths-

#### Solution of is

#### Solution of is

maths-General

maths-

#### If then the general solution of

#### If then the general solution of

maths-General

physics-

#### The graph between the displacement and for a particle moving in a straight line is shown in figure. During the interval and the acceleration of the particle is

,

Region shows that graph bending toward time axis acceleration is negative.

Region shows that graph is parallel to time axisvelocity is zero. Hence acceleration is zero.

Region shows that graph is bending towards displacement axis acceleration is positive.

Region shows that graph having constant slope velocity is constant. Hence acceleration is zero

Region shows that graph is parallel to time axisvelocity is zero. Hence acceleration is zero.

Region shows that graph is bending towards displacement axis acceleration is positive.

Region shows that graph having constant slope velocity is constant. Hence acceleration is zero

#### The graph between the displacement and for a particle moving in a straight line is shown in figure. During the interval and the acceleration of the particle is

,

physics-General

Region shows that graph bending toward time axis acceleration is negative.

Region shows that graph is parallel to time axisvelocity is zero. Hence acceleration is zero.

Region shows that graph is bending towards displacement axis acceleration is positive.

Region shows that graph having constant slope velocity is constant. Hence acceleration is zero

Region shows that graph is parallel to time axisvelocity is zero. Hence acceleration is zero.

Region shows that graph is bending towards displacement axis acceleration is positive.

Region shows that graph having constant slope velocity is constant. Hence acceleration is zero

maths-

#### then the general solution of =

#### then the general solution of =

maths-General

physics-

#### Velocity-time - graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is

Between time interval to , there is non-zero acceleration and retardation. Hence distance travelled during this interval

Area between time interval to

Area between time interval to

#### Velocity-time - graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is

physics-General

Between time interval to , there is non-zero acceleration and retardation. Hence distance travelled during this interval

Area between time interval to

Area between time interval to