Physics

Problem

Consider a \piecewise-linear position-time description of a moving object given by the points

(0 \mathrm{~s}, 0 \mathrm{~m}) \rightarrow(2 \mathrm{~s}, 10 \mathrm{~m}) \rightarrow(4 \mathrm{~s}, 10 \mathrm{~m}) \rightarrow(7 \mathrm{~s}, 0 \mathrm{~m})

with straight-line segments between listed points. Determine the instantaneous velocity at

t=5 \mathrm{~s}

(interpret as the slope of the

x-t

segment containing

t=5 \mathrm{~s}