Mathematics

Problem

t = 5\,\text{s}

, a tangent drawn to the smooth position–time curve of a moving object passes through the points

\left(3\,\text{s},\,10\,\text{m}\right)

and

\left(7\,\text{s},\,34\,\text{m}\right)

. Find the instantaneous speed of the object at

t = 5\,\text{s}