- distance and displacement
- |
- Velocity and speed
- |
- Instantaneous velocity and speed
- |
- Acceleration
- |
- Kinematic equations for uniformly accelerated Motion
- |
- Free fall acceleration
- |
- Relative velocity
- |
- Kinematics Sample Problems and Solutions
- |
- One dimensional motion problems with solution
- |
- Motion graphs worksheet with Answer

- Important Questions on Kinematics
- |
- Kinematics worksheet
- |
- Motion in one dimension Practice Paper
- |
- Acceleration worksheet with answers

- Consider two objects A and B moving with uniform velocities v
_{A}and v_{B}along two straight and parallel tracks.

- Let x
_{OA}and x_{OB}be their distances from origin at time t=0 and x_{A}and x_{B}be their distances from origin at time t.

- For object A

x_{A}= x_{OA}+ v_{A}t (18)

and for object B

x_{B}= x_{OB}+ v_{B}t (19)

subtracting equation 18 from 19

x_{B}- x_{A}= ( x_{OB}- x_{OA}) + ( v_{B}- v_{A}) t (20)

- Above equation 20 tells that as seen from object A , object B seems to have velocity ( v
_{B}- v_{A}) .

- Thus ( v
_{B}- v_{A}) is the velocity of object B relative to object A. Thus,

v_{BA}= ( v_{B}- v_{A}) (21)

- Similarly velocity of object A relative to object B is

v_{AB}= ( v_{A}- v_{B}) (22)

- If v
_{B}= v_{A}then from equation 20

x_{B}- x_{A}= ( x_{OB}- x_{OA})

i.e., two objects A and B stays apart at constant distance.

- v
_{A}> v_{B}then (v_{B}- v_{A}) would be negative and the distance between two objects will go on decreasing by an amount ( v_{A}- v_{B}) after each unit of time. After some time they will meet and then object A will overtake object B.

- If v
_{A}and v_{B}have opposite signs then magnitude of v_{BA}or v_{AB}would be greater then the magnitude of velocity of A or that of B and objects seems to move very fast.

- In short

a. $u+v$

b. $u-v$

c. $u$

d. $v$

a. $u+v-w$

b. $u-v-w$

c. $u$

d. $v$

a. $u+v$

b. $v-u$

c. $u$

d. $v$

a. $u+v-w$

b. $v-u-w$

c. $u$

d. $v$

Check your Answers

a. 0

b. 15 m/s

c. -15 m/s

d. 20 m/s

a. 5m/s

b -5 m/s

c. 15 m/s

d -15 m/s

a. 5 m/s

b. -5 m/s

c. 10 m/s

d. -10 m/s

Check your Answers

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