Physics Examples

¯ ¯ ¯ a = \frac{v - v_{0}}{t}

$\overline{a} = \frac{v - v_{0}}{t}$

$¯ a$ $\overline{a}$	$=$ $=$	$?$ $?$
$v$ $v$	$=$ $=$	$19.6 \frac{m}{s}$ $19.6 \frac{m}{s}$
$v_{0}$ $v_{0}$	$=$ $=$	$5 \frac{m}{s}$ $5 \frac{m}{s}$
$t$ $t$	$=$ $=$	$7.3 s$ $7.3 s$

Step 1

Substitute the given values into

¯ a = \frac{v - v_{0}}{t}

$\overline{a} = \frac{v - v_{0}}{t}$ .

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Step 1.1

Substitute

19.6 \frac{m}{s}

$19.6 \frac{m}{s}$ for

v

$v$ .

¯ a = \frac{19.6 \frac{m}{s} - v_{0}}{t}

$\overline{a} = \frac{19.6 \frac{m}{s} - v_{0}}{t}$

Step 1.2

Substitute

5 \frac{m}{s}

$5 \frac{m}{s}$ for

v_{0}

$v_{0}$ .

¯ a = \frac{19.6 \frac{m}{s} - (5 \frac{m}{s})}{t}

$\overline{a} = \frac{19.6 \frac{m}{s} - (5 \frac{m}{s})}{t}$

Step 1.3

Substitute

7.3 s

$7.3 s$ for

t

$t$ .

¯ a = \frac{19.6 \frac{m}{s} - (5 \frac{m}{s})}{7.3 s}

$\overline{a} = \frac{19.6 \frac{m}{s} - (5 \frac{m}{s})}{7.3 s}$

¯ a = \frac{19.6 \frac{m}{s} - (5.00 \frac{m}{s})}{7.30 s}

$\overline{a} = \frac{19.6 \frac{m}{s} - (5.00 \frac{m}{s})}{7.30 s}$

Step 2

Simplify the right side.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Combine fractions.

¯ a = \frac{19.6 \frac{m}{s} - 5.00 \frac{m}{s}}{7.30 s}

$\overline{a} = \frac{19.6 \frac{m}{s} - 5.00 \frac{m}{s}}{7.30 s}$

Step 2.1.2

Subtract

5.00 \frac{m}{s}

$5.00 \frac{m}{s}$ from

19.6 \frac{m}{s}

$19.6 \frac{m}{s}$ .

¯ a = \frac{14.60 \frac{m}{s}}{7.30 s}

$\overline{a} = \frac{14.60 \frac{m}{s}}{7.30 s}$

¯ a = \frac{14.60 \frac{m}{s}}{7.30 s}

$\overline{a} = \frac{14.60 \frac{m}{s}}{7.30 s}$

Step 2.2

Factor

\frac{m}{s}

$\frac{m}{s}$ out of

\frac{14.60 \frac{m}{s}}{7.30 s}

$\frac{14.60 \frac{m}{s}}{7.30 s}$ .

¯ a = \frac{m}{s} \cdot \frac{14.60}{7.30 s}

$\overline{a} = \frac{m}{s} \cdot \frac{14.60}{7.30 s}$

Step 2.3

Combine fractions.

¯ a = \frac{14.60}{7.30} \frac{m}{s^{2}}

$\overline{a} = \frac{14.60}{7.30} \frac{m}{s^{2}}$

Step 2.4

Divide

14.60

$14.60$ by

7.30

$7.30$ .

¯ a = 2 \frac{m}{s^{2}}

$\overline{a} = 2 \frac{m}{s^{2}}$

¯ a = 2 \frac{m}{s^{2}}

$\overline{a} = 2 \frac{m}{s^{2}}$

Step 3

Round to

3

$3$ significant figures.

¯ a = 2.00 \frac{m}{s^{2}}

$\overline{a} = 2.00 \frac{m}{s^{2}}$

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