The velocity-time graph (v-t) of a car moving along a
level road is shown below.Find the average speed of the
car in the time interval 0 to 8 s.

Asked by Santosh.kumar0317 | 25th Aug, 2019, 02:15: PM

Expert Answer:

A v e r a g e space s p e e d equals fraction numerator T o t a l space d i s tan c e over denominator T o t a l space t i m e end fraction
T h e space p o i n t space a t space w h i c h space t h e space l i n e space i n t e r s e c t s space t h e space x minus a x i s space c a n space b e space c a l c u l a t e d space w i t h space t h e space h e l p space o f space s i m i l a r i t y space o f space t r i a n g l e s
10 over x equals fraction numerator 5 over denominator 5 minus x end fraction
x equals 10 over 3 s
A r e a space o f space t h e space b i g g e r space t r i a n g l e space equals 1 half cross times 10 over 3 cross times 10 equals 100 over 6 m
A r e a space o f space s m a l l e r space t r i a n g l e equals 1 half cross times 5 over 3 cross times 5 equals 25 over 6 m
A r e a space o f space r e c tan g l e equals 5 cross times 3 equals 15 m
T o t a l space a r e a equals 100 over 6 plus 25 over 6 plus 15 equals 215 over 6 m
A v e r a g e space s p e e d equals fraction numerator 215 over denominator 6 cross times 8 end fraction equals 4.479 m divided by s

Answered by Utkarsh Lokhande | 25th Aug, 2019, 06:24: PM