Physics

Problem

Particles

M

and

N

move along a line with constant accelerations

a_M(t)=4\text{ m/s}^2

and

a_N(t)=2\text{ m/s}^2

, respectively. At

t=0

, both particles are at the origin; particle

M

is at rest, while particle

N

has velocity

6\text{ m/s}

directed in the positive direction. Determine the time

t

(in seconds) when the particles next occupy the same position. a)

3

12

6

8