I have been trying to figure this out for awhile with no luck. can anyone help?
suppose that a particles position is described by r(t)=(t^2+1)i+(t-5)j
Give an equation(in the form of a formula involving x and y set equal to 0)whose solutions consist of the path of the particle.

The answer looks like ____________=0

Question

I have been trying to figure this out for awhile with no luck. can anyone help? 
suppose that a particles position is described by r(t)=(t^2+1)i+(t-5)j
Give an equation(in the form of a formula involving x and y set equal to 0)whose solutions consist of the path of the particle.

The answer looks like ____________=0

anonymous · Answer

$$
y=t-5\
t=y+5\

x=t^2+1=(y+5)^2 +1\
x-(y+5)^2  -1=0

$$

anonymous · Answer

You have to eliminate t between x and y

anonymous · Answer

ohhh ok so you solved for t on one of them and plugged it into the other. thats it right?

anonymous · Answer

yes

anonymous · Answer

alright cool tyvm

anonymous · Answer

yw