Particle M begins at the origin at and moves with position

PHYSICS · Single correct · CBSE · Physics · Motion · Motion

Problem

Particle M begins at the origin at

t=0

and moves with position

s_M(t)=8t

, where

s

is in meters and

t

in seconds. Particle N also starts at the origin but does not begin moving until

t=5\text{ s}

; for

t\ge 5

its position is

s_N(t)=20(t-5)

. At what time, if ever, do the two particles next coincide? (a)

t=10\text{ s}

(b)

t=\dfrac{25}{3}\text{ s}

(c)

t=5\text{ s}

(d) They never coincide for

t\ge 5\text{ s}