How can I show the Velocity of this function r(t)= for 0 ≤ t ≤ T where a, b, c and d are constants. I know that you take the derivative. I am confused though by what its asking.

Question

How can I show the Velocity of this function r(t)= <a+bt,c+dt> for 0 ≤ t ≤ T

where a, b, c and d are constants. 

I know that you take the derivative. I am confused though by what its asking.

dumbcow · Answer

sorry i was away for a bit
yeah velocity is just simply the derivative
$$v(t) = <b, d>$$

anonymous · Answer

@dumbcow you are a great help! I was figuring since the constants would be 0 that's how that would happen I was just unsure of how to deal with bt, but I was being stupid since I wasn't thinking about it being with respect to t.