Question

Describe v2 and u2 =2 as using graphical method

Answer 1

Answer:

ANSWER

Let the initial velocity of the object = u

Let the object is moving with uniform acceleration, a.

Let object reaches at point B after time, t and its final velocity becomes, v

Draw a line parallel to x-axis DA from point, D from where object starts moving.

Draw another line BA from point B parallel to y-axis which meets at E at y-axis.

The distance covered by the object moving with uniform acceleration is given by the area of trapezium ABDO

Therefore,

Area of trapezium ABDOE =  

2

1

​  

× (sum of parallel sides + distance between parallel sides)

Distance(S)=  

2

1

​  

(DO+BE)×OE

S=  

2

1

​  

(u+v)×t...............(i)

we know that,

a=  

t

v−u

​  

 

from above equation we can say,

t=  

a

v−u

​  

...........(ii)

After substituting the value of t from equation(ii) in equation (i)

S=  

2a

1

​  

(u+v)(v−u)

2aS=(u+v)(v−u)

2aS=v  

2

−u  

2

 

Hence Pro ved