Question

A particle moves in a straight line with acceleration -1/3v^2 where v is velocity at time t. Initially the particle is at O, a fixed point on the line , with velocity u. Find in terms of u the time at which the velocity is zero and the displacement of the particle from O at this time.​

Answer 1

Answer:

a fixed point on the line , with velocity is zero and the dizplacement of the velocity iz zero o at this time. a paeticle moves in a strzight line with acceleration .

Answer 2

a=dv/dt then -1/3v^2= dv /dt

3v^2dv= dt

v^3 = -t + c

at T= 0 v = u

now putting these value

u^3 = 0 + c

c = u^3

now equation is v^3 = u^3 - t

the value of t at v = 0

t = u^3