-->

Motion In Straight Line

Question
CBSEENPH11016992

A body travels for half of time with velocity v1 and for next half of time with velocity v2. What is the average velocity of motion?

Solution

Let the body travel for total time to 2t.
The distance travelled by body in first t time is,
                        s subscript 1 equals straight v subscript 1 straight t
The distance travelled by body in next t time is, 
                        s subscript 2 equals straight v subscript straight v straight t
Total distance travelled by the body is, 
straight S equals s subscript 1 plus s subscript 2 equals straight v subscript 1 straight t plus straight v subscript 2 straight t

therefore space A v e r a g e space v e l o c i t y space equals space fraction numerator T o t a l space d i s t a n c e space t r a v e l l e d over denominator T o t a l space t i m e space t a k e n end fraction

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator straight v subscript 1 straight t plus straight v subscript 2 straight t over denominator 2 t end fraction equals fraction numerator straight v subscript 1 plus straight v subscript 2 over denominator 2 end fraction