A car starts from rest and moves with wwiform acceleration .a.. At the same instant from the same point a bike crosses with a uniform velocity .u.. When and where will they meet ? What is the velocity of car with respect to the bike at the time of meeting?

A car starts from rest and moves with wwiform acceleration .a.. At the

1.	A car starts from rest and moves with wwiform acceleration .a.. At the same instant from the same point a bike crosses with a uniform velocity .u.. When and where will they meet ? What is the velocity of car with respect to the bike at the time of meeting?
Answer» SOLUTION :LET the CAR and bike will meet after COVERING a DISTANCE S in a time .t. sec. For car `S=1/2 at^(2) ……(1)` for bike S=ut ……..(2) Since they cover same distance `ut=1/2 at^(2) rArr t=(2u)/a` The car and bike will meet after a time of `(2u)/a` sec The velocity of car after .t. sec is `V_("car")=at=a((2u)/a)=2u` The velocity of car w.r.t. bike is `V_("rel")=2u-u=u`