Motion In Straight Line

Question

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If A + B = C and that C is perpendicular to A. What is the angle between A and B, if $|A| = |B|$

$\frac{π}{4}$ rad

$\frac{π}{2}$ rad

$\frac{3 π}{4}$ rad

$π$ rad

Solution

$\frac{3 π}{4}$ rad

Given:-

A + B = C

Since, B = C $-$ A

Also

$|C| ⊥ |A|$

B² = 2 A²

⇒ B = $\sqrt{2}$ A

Now

A² + B² + 2A B cosθ = C² = A²

∴ $\cos θ = - \frac{1}{\sqrt{2}}$

This gives

$θ = \frac{3 π}{4}$ rad

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.

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Motion In Straight Line

If A + B = C and that C is perpendicular to A. What is the angle between A and B, if $|A| = |B|$

$\frac{π}{4}$ rad

$\frac{π}{2}$ rad

$\frac{3 π}{4}$ rad

$π$ rad

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

How does the displacement of a particle change, when reference point for the position is shifted?

A particle moves from A to B along three different paths. Is the displacement along three paths different?

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For Daily Free Study Material Join wiredfaculty

Motion In Straight Line

If A + B = C and that C is perpendicular to A. What is the angle between A and B, if A = B π4 rad π2 rad 3 π4 rad π rad

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: (a) A kite flying in the sky. (b) The earth revolving around the sun. (c) A train moving along the equator of the earth in clockwise direction. (d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

How does the displacement of a particle change, when reference point for the position is shifted?

A particle moves from A to B along three different paths. Is the displacement along three paths different?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If A + B = C and that C is perpendicular to A. What is the angle between A and B, if $|A| = |B|$

$\frac{π}{4}$ rad

$\frac{π}{2}$ rad

$\frac{3 π}{4}$ rad

$π$ rad

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.