Question

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 ____________=1

Answer 1

y = t - 5

t = y + 5

x = t^2 + 1 = (y + 5 )^2 + 1

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

X - (y+5)^2 = 1

hope this helps