Final answer:
To sketch the curve with a given vector equation, follow a step-by-step process: Choose an appropriate scale, draw each vector arrow, and find the resultant. In this case, the positive direction is to the right as t increases.
Step-by-step explanation:
Graphing the Vector Equation
Choose an appropriate scale for the axes of the graph. Let the x-axis represent the east-west direction.
Draw an arrow to represent the first vector given, with a length proportional to the distance and in the correct direction.
Repeat step 2 for the remaining vectors, labeling each arrow with the corresponding vector letter.
Draw an arrow from the tail of the first vector to the head of the last vector. This arrow represents the resultant, or the sum, of the vectors.
Determining the Direction
According to the question, the positive direction is considered to be to the right. Therefore, as you move in the direction of increasing t, you will be moving to the right on the graph.