<p>A person travelling on a straight line moves with a uniform velocity&nbsp;<span class="equation">\(v _1\)</span>&nbsp;for a distance x and with a uniform velocity&nbsp;<span class="equation">\(v_2\)</span>&nbsp;for the next&nbsp;<span class="equation">\(\frac{3}{2}\)</span>x distance. The average velocity in this motion is&nbsp;<span class="equation">\(\frac{50}{7}\)</span>m/s. If&nbsp;<span class="equation">\(v^1\)</span>&nbsp;is 5 m/s then&nbsp;<span class="equation">\(v_2\)</span>&nbsp;= ________m/s​​​​​​​</p>