Please can someone help me I'm confused with the first part:
At time t seconds a particle P has position vector r metres, with respect to a fixed origin O, where:
r = (4t^2 - kt + 5) i + (4t^3 + 2kt^2 - 8) j, t ≥ 0
When t = 2, P is moving parallel to the vector i.
(i) show that k = -5 (4 marks)
I get that the i vector for t and the original equation are the same, but I just don't get how you get an r value, or if you're even supposed to get an r value. If someone could please help I would really appreciate it - thank you in advance.