Example 1:[1] A particle starting at the origin has moved 27 m in 9 s. Find v ¯ {\displaystyle {\bar {v}}} .
v ¯ = x f − x i t f − t i = 27 m − 0 m 9 s − 0 s = 3 m / s {\displaystyle {\bar {v}}={\frac {x_{f}-x_{i}}{t_{f}-t_{i}}}={\frac {27\ \mathrm {m} -0\ \mathrm {m} }{9\ \mathrm {s} -0\ \mathrm {s} }}=3\ \mathrm {m} /\mathrm {s} }
Example 2: A particle starting 23 m from the origin has moved to 43 m in 5 s. Find v ¯ {\displaystyle {\bar {v}}} .
v ¯ = x f − x i t f − t i = 43 m − 23 m 5 s − 0 s = 20 m 5 s = 4 m / s {\displaystyle {\bar {v}}={\frac {x_{f}-x_{i}}{t_{f}-t_{i}}}={\frac {43\ \mathrm {m} -23\ \mathrm {m} }{5\ \mathrm {s} -0\ \mathrm {s} }}={\frac {20\ \mathrm {m} }{5\ \mathrm {s} }}=4\ \mathrm {m} /\mathrm {s} }