1.

05. A car is moving along a straight road with auniform acceleration. It passes through twopoints P and Q separated by a distance withvelocities 30 km/h and 40 kh/h respectivelyWhat is the velocity of the car midway betweenP and Q?(1) 33.3 km/h(2) 0.35 km/h(3) 25/2 km/h (4) 202 km/h

Answer»

Given that

vp= 30km/h

vq= 40km/h

Assume acceleration of the car is a.

PQ = s

Using,

v^2= u^2+ 2as

=> 402= 30^2+2as

=> 2as = 700

=> as = 350 ....................(1)

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

Then v^'2= vp^2+ 2a(s/2)

=> v'^2= 900 + 350 = 1250

=> v' = 35.35 m/s.



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