IIT JEE , AIEEE Forum - Physics , General

Avinash_Bhat

KINEMATICS - ONE DIMENSION - II

1. A body is dropped from height 'h'. At the same time, another body is projected upwards vertically with a velocity 'u'.

***They will meet after a time : ( h / u )

***Their meeting is at a distance of : gh² / 2u²

2. 'n' balls, thrown every second such that one ball thrown when the previous one reaches its maximum height. This maximum height = g / 2n²

3. Consider : Ball thrown vertically upwards passes through the same point during times, t₁ and t₂

(a) t₁ + t₂ = 2u / g = 2t ( 't' - time taken to reach the maximum height from the ground)

(b) t² = t₁t₂

4. Body is dropped from a height. Time taken to cover successive unit distances are in the ratio :

1 :

2 -

1 :

3 -

2 :

4 -

3 : ...................

5. A body is dropped from the top of a tower and after 'n' seconds, another body is thrown downwards with a velocity ' v '. They may meet after a time :

t = ( { gn / 2 } - v ) / ( gn - v )

6. Body 1 accelerates from rest at a constant rate 'a'. Body 2, at a distance of 'd' from Body 1 ( Body 2 is at the back of the Body 1 ) should have a minimum velocity ' v ' to meet the Body 2 where : v =

2ad

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