3.2 Vector Addition and Subtraction: Graphical Methods

Head-to-tail and parallelogram constructions, scaling by a scalar, and measuring a resultant with ruler and protractor.

College Physics 2e, 3.2 Vector Addition and Subtraction: Graphical Methods

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5 exercises

3.2 Exercise 2

A ball is launched at an angle of 60 degrees above the horizontal, and the vertical position of the ball is recorded at various points in time in the table shown, assuming the ball was at a height of 0 at time t = 0.

Draw a graph of the ball's vertical velocity versus time.
Describe the graph of the ball's horizontal velocity.
Draw a graph of the ball's vertical acceleration versus time.

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3.2 Exercise 13

Use graphical methods to solve these problems. You may assume data taken from graphs is accurate to three digits.

Find the north and east components of the displacement for the hikers shown in the figure.

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3.2 Exercise 17

Use graphical methods to solve these problems. You may assume data taken from graphs is accurate to three digits.

(a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction $\text{40}.\text{0}º$ north of east, (which is equivalent to subtracting $\mathbf{B}$ from $\mathbf{A}$ —that is, finding $\mathbf{R} ' = \mathbf{A} – \mathbf{B}$ ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction $\text{40}.\text{0}º$ east of south…

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3.2 Exercise 19

Use graphical methods to solve these problems. You may assume data taken from graphs is accurate to three digits.

Show that the sum of the vectors discussed in the example gives the result shown in the figure.

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3.2 Exercise 21

Use graphical methods to solve these problems. You may assume data taken from graphs is accurate to three digits.

Find the components of $v_{\text{tot}}$ along the x- and y-axes in the figure.

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