Acceleration as a F(position) (1 Viewer)

[risaka]

can someone please help me with this question...

A particle moves with the velocity v meters per second where v^2 = 2x+4 and x metres is the displacement from the origin.

a) find the displacement of the particle
b)find the velocity of the particle when the displacement is 6m

thanks in advance^^

 

[MolestLawzy]

can someone please help me with this question...

A particle moves with the velocity v meters per second where v^2 = 2x+4 and x metres is the displacement from the origin.

a) find the displacement of the particle
b)find the velocity of the particle when the displacement is 6m

thanks in advance^^

a) dunno, guessing it to be x = (v^2-4)/2

b) v^2=2(6)+4
v^2=16
v=4 as v > 0

v = 4 should be x = 6, haven't done this topic and cbfed checking.

 

[SeDaTeD]

He wants x in terms of t.

v^2 = 2x + 4
2vdv/dt = 2dx/dt = 2v
dv/dt = 1
v = t + v(0)
dx/dt = t + v(0)
x = t^2/2 + v(0)t + x(0)