For an object, graph of `(1)/(v)` and x is as shown in figure, where v is velocity and x is position of object. Find time taken by object from x = 4m to x = 12m

Options

A. `10s`
B. `8s`
C. `6s`
D. `3s`

Answer

A

Explanation

For an object …………….
Equation of graph
`(1)/(v) = (3x)/(16) - (1)/(4)`
or `v =(1)/((3x)/(16)-(1)/(4))`
`(dx)/(dt) = (1)/((3x)/(16) - (1)/(4)) implies overset(12)underset(4)int ((3x)/(16)- (1)/(4)) dx = overset(t)underset(0)int dt`
`t = 10s`