The curve in Figure 2.8 can be mathematically represented by the function \(x(t)=a+b t+c t^{2}\), where \(a=0.50 \mathrm{~m}\), \(b=+2.0 \mathrm{~m} / \mathrm{s}\), and \(c=-2.0 \mathrm{~m} / \mathrm{s}^{2}\). Use this function to answer the four questions in Example 2.1.

Data from Figure 2.8

Data from Example 2.1

The curve in Figure 2.8 is a graphical representation of the motion of a certain object.

(a) What was the \(x\) coordinate of the object at \(t=0.50 \mathrm{~s}\) ?

(b) At what instant(s) did the object reach \(x=+0.80 \mathrm{~m}\) ?

(c) What distance did the object travel between \(t=0.80 \mathrm{~s}\) and \(t=1.2 \mathrm{~s}\) ?

(d) How long did it take for the object to move from \(x=+1.0 \mathrm{~m}\) to \(x=0\) ?

Transcribed Image Text:

xaxis in units x (m) of meters 1.5 1.0 0.5 O 0 x() curve taxis in units of seconds (s) 0.5 1.0 1.5