Question

A particle moving rectilinearly with constant acceleration is having initial velocity of 10 M per second after sometime velocity becomes 30 metre per second find the velocity of particle at the midpoint of its path

Answer 1

Let the total distance be 2x

Therefore distance up to mid point is equal to x.

Let the velocity at midpoint be v

And acceleration be a.

From equations of motion :

v² = 10² + 2ax............... 1)

30² = v² + 2ax.............. 2)

(2) - (1) gives :

30² - v² = v² - 10²

900 + 100 = 2v²

1000 = 2v²

v² = 1000/2

v² = 500

v = √500

v = 10√5 m/s