You and your best friend Janine decide to play a game. You are in a land of make believe where you are a function, f(t), and she
is a function, g(t). The two of you move together throughout this land with you (that is, f(t) ) controlling your East/West movement and Janine (that is, g(t) ) controlling your North/South movement. If your identity, f(t), is given by f(t)=(t2+44)323
and Janine's identity, g(t), is given by
g(t)=26t
How many units of distance do the two of you cover between the Most Holy Point o' Beginnings (t=0), and The Buck Stops Here (t=28)?
Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Check out attachment for the step by step solution of the given problem.