Construct and from their x- and y-components:

Since we are subtracting, reverse the direction of :

Place the tails of and  at the same point:

Construct a parallelogram:

Construct and measure the resultant using a ruler and protractor.

First, construct the two vectors using ruler and protractor:

 is twice the length of , but in the same direction:

Since we are subtracting, reverse the direction of :

Place the tails of  and  at the same point:

Construct a parallelogram:

Construct and measure the resultant using ruler and protractor:

Finding the resultant requires us to add like components:

Finding the resultant requires us to add like components:

An independent variable is manipulated by the experimenter. Any changes made are predictable. The dependent variable reacts to changes made to the independent variable. Its changes are not controlled by the experimenter and can be hard to predict.

In this particular experiment, the scientist is measuring how the particle's distance changes over a given time. She is able to control the amount of time that she measures, but is only able to observe the distance traveled.

In the graph, the independent variable will be graphed on the x-axis.

There are a few ways to think of this question. The first is to imagine you are graphing velocity. Since the equation is , the displacement would be on the y-axis and time would be on the x-axis. The x-axis is going to be where we put our independent variable.

The other way to think of this is to ask yourself what our "inputs" and "outputs" would be if we were measuring velocity. Imagine you're walking down the street and you record how far you travel every second. The time is what you are "inputting" and your distance travelled is your "output."

Independent variables are predetermined by the experimenter and can be manipulated to change the measured dependent variable. Independent variables are generally graphed on the x-axis, while dependent variables are generally graphed on the y-axis.

In this question, time is the independent variable and displacement is the dependent variable. The experimenter can select sampling times, but cannot necessarily predict the displacement that will be measured at each point. This defines time as the independent variable.

The independent variable is controlled by the experimenter, while the dependent variable will fluctuate based on independent variable inputs. The independent variable is always displayed on the x-axis of a graph, while the dependent variable appears on the y-axis. Time is a common independent variable, as it will not be affeced by any dependent environemental inputs. Time can be treated as a controllable constant against which changes in a system can be measured.

Remember that at the highest point, the velocity in the y-direction is equal to zero. Using the given values and the equation below, we can solve for the initial velocity.

Remember that the final velocity at an object's highest point is equal to zero. We can use the following equation to solve for our height (), using the initial velocity, final velocity, and acceleration due to gravity.