2001 HSC q7cii) (1 Viewer)

[evette13]

Hey do you know the answer to the first part of this question anyone? it says:

A partilcle moves in a straight lineso that its displacement (m) is given by

x = (t-2)/(t+2) ...where t is in seconds.
i) displacement = -1 when t=0
ii) Show that x= 1-(4/(t+2))

I am having trouble showing this and cannot find the answer to the proof on the board of studies website.

Can someone plz help?! ta!

 

[FinalFantasy]

Hey do you know the answer to the first part of this question anyone? it says:

A partilcle moves in a straight lineso that its displacement (m) is given by

x = (t-2)/(t+2) ...where t is in seconds.
i) displacement = -1 when t=0
ii) Show that x= 1-(4/(t+2))

I am having trouble showing this and cannot find the answer to the proof on the board of studies website.

Can someone plz help?! ta!

x = (t-2)/(t+2)
u can use long division or just do dis:
x=(t-2+2-2)\(t+2)
x=((t+2)-4)\(t+2)
x=1-4\(t+2)

 

[acmilan]

or you could start with x = 1-(4/(t+2)) and make a common denominator:

x = 1-(4/(t+2))
x = [(t+2) - 4]/(t+2)
x = (t-2)/(t+2)

which is what you had to show