Question

What is the speed of the body moving with uniform acceleration at the midpoint of two points on a straight line, where the speeds are u and v respectively ?​

Answer 1

$\huge\underline\bold\purple{SolutiOn:}$

$\sf{Accleration~of~the~car→a}$

$\sf{The~ distance~ between ~A ~and ~B ~ is→d}$

$\sf{v^2-u^2→2ad}$

$\bold{Given:}$

$\sf{v→30~m/s~and~u→20~m/s}$

$\sf{2ad→30^2-20^2}$

$\sf{ad→\frac{(900-400)}{2}→250}$

$\sf{when~the~car~is~at~the~mid~point~of~AB}$

$\sf{~then~let~the~speed~of~the~car~is~V_1}$

$\sf{{V}^2_{1} →ad+400→650}$

$\sf{.°.v_1~ is→25.5~m/s}$

$\large\tt{Answer}$

→The speed of the body moving with uniform acceleration at the midpoint of two points on a straight line is 25.5 m/s

Answer 2

Let 'a' be the constant acceleration and s be the distance between the two points,From equation of motion

v^2-u^2 = 2as................(1)