Physics Examples

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

Step 1

Substitute the given values into $\overline{a} = \frac{v - v_{0}}{t}$ .

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Step 1.1

Substitute $19.6 \frac{m}{s}$ for $v$ .

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

Step 1.2

Substitute $5 \frac{m}{s}$ for $v_{0}$ .

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

Step 1.3

Substitute $7.3 s$ for $t$ .

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

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

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.

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

Step 2.1.2

Subtract $5.00 \frac{m}{s}$ from $19.6 \frac{m}{s}$ .

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

Step 2.2

Factor $\frac{m}{s}$ out of $\frac{14.60 \frac{m}{s}}{7.30 s}$ .

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

Step 2.3

Combine fractions.

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

Step 2.4

Divide $14.60$ by $7.30$ .

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

Step 3

Round to $3$ significant figures.

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

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