A car moves with uniform acceleration along a straight line ABC. Its speed at A and C is 5 m/s and 25 m/s respectively. If AB = BC, then find the velocity at B.

Solution

Speed of car A, u_a = 5 m/s
Speed of car C, u_c= 25 m/s
Given, AB = BC
That is B is the mid-point of AC.
Therefore, velocity at B is given by,
$straight v space equals space square root of fraction numerator straight u subscript straight A squared space plus space straight u subscript straight c squared over denominator 2 end fraction end root space equals space square root of fraction numerator 25 plus 625 over denominator 2 end fraction end root space equals space square root of 325 space straight m divided by straight s$

v = 18 m/s is the velocity of particle at B.

Some More Questions From Motion in Straight Line Chapter

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

A car moves with uniform acceleration along a straight line ABC. Its speed at A and C is 5 m/s and 25 m/s respectively. If AB = BC, then find the velocity at B.

Some More Questions From Motion in Straight Line Chapter

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

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?

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For Daily Free Study Material Join wiredfaculty

Motion In Straight Line

A car moves with uniform acceleration along a straight line ABC. Its speed at A and C is 5 m/s and 25 m/s respectively. If AB = BC, then find the velocity at B.

Some More Questions From Motion in Straight Line Chapter

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

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?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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.