Question

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity $30$ km/h and $40$ km/h respectively. The velocity of the car midway between P and Q is?

Answer 1

Assume acceleration of the car is a.

$PQ=s$

Using, $v^2=u^2+2as$.

$=>{40}^2={30}^2+2as$

$=>2as=700=>as=350$

Now, assume velocity of car at a midpoint of PQ is V.

$V^2=v{p}^2+2a\left(\frac{s}{2}\right)$

$=>V^2=900+350=1250$

$=>V=35.35\frac{m}{s}$