The equation for the motion of a particle is v = at . The distance travelled by the particle in the first 4 second is :

Options

A. 8a
B. 6a
C. 12a
D. 4a

Answer

A

Explanation

`v = (dx)/(dt) = at`
` underset(0)overset(x)intdx = underset(0)overset(4)intat dt `
`x = a [(t^(2))/(2)]_(0)^(2) = (a)/(2) [ (4)^(2) - (0)^(2)]`
`x = (a)/(2) xx 16 = 8a`