Physics Examples

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

$\overline{a}$	$=$	$?$
$v$	$=$	$19 \frac{m}{s}$
$v_{0}$	$=$	$25 \frac{m}{s}$
$t$	$=$	$10 s$

Step 1

Substitute the given values into

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

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Step 1.1

Substitute

$19 \frac{m}{s}$ for

$v$ .

$\overline{a} = \frac{19 \frac{m}{s} - v_{0}}{t}$

Step 1.2

Substitute

$25 \frac{m}{s}$ for

$v_{0}$ .

$\overline{a} = \frac{19 \frac{m}{s} - (25 \frac{m}{s})}{t}$

Step 1.3

Substitute

$10 s$ for

$t$ .

$\overline{a} = \frac{19 \frac{m}{s} - (25 \frac{m}{s})}{10 s}$

$\overline{a} = \frac{19.0 \frac{m}{s} - (25.0 \frac{m}{s})}{10.0 s}$

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.

$\overline{a} = \frac{19.0 \frac{m}{s} - 25.0 \frac{m}{s}}{10.0 s}$

Step 2.1.2

Subtract

$25.0 \frac{m}{s}$ from

$19.0 \frac{m}{s}$ .

$\overline{a} = \frac{- 6.0 \frac{m}{s}}{10.0 s}$

Step 2.2

Cancel the common factor of

$- 6.0$ and

$10.0$ .

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Step 2.2.1

Factor

$2$ out of

$- 6.0 \frac{m}{s}$ .

$\overline{a} = \frac{2 (- 3 \frac{m}{s})}{10.0 s}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

$2$ out of

$10.0 s$ .

$\overline{a} = \frac{2 (- 3 \frac{m}{s})}{2 (5 s)}$

Step 2.2.2.2

Cancel the common factor.

$\overline{a} = \frac{2 (- 3 \frac{m}{s})}{2 (5 s)}$

Step 2.2.2.3

Rewrite the expression.

$\overline{a} = \frac{- 3 \frac{m}{s}}{5 s}$

Step 2.3

Factor

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

$\frac{- 3 \frac{m}{s}}{5 s}$ .

$\overline{a} = \frac{m}{s} \cdot \frac{- 3}{5 s}$

Step 2.4

Combine fractions.

$\overline{a} = \frac{- 3}{5} \frac{m}{s^{2}}$

Step 2.5

Move the negative in front of the fraction.

$\overline{a} = - \frac{3}{5} \frac{m}{s^{2}}$

Step 2.6

Convert

$- \frac{3}{5}$ to decimal.

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Step 2.6.1

Divide

$3$ by

$5$ .

$\overline{a} = - 1 \cdot 0.6 \frac{m}{s^{2}}$

Step 2.6.2

Multiply

$- 1$ by

$0.6$ .

$\overline{a} = - 0.6 \frac{m}{s^{2}}$

Step 3

Round to

$2$ significant figures.

$\overline{a} = - 0.60 \frac{m}{s^{2}}$

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