Figure \(\mathrm{P} 2. 52\) is the position-versus-time graph for a moving object. What is the object's average velocity

(a) between \(t=0\) and \(t=1.0 \mathrm{~s},

(b) between \(t=0\) and \(t=4.0 \mathrm{~s}\), and

(c) between \(t=3.0 \mathrm{~s}\) and \(t=6.0 \mathrm{~s}\) ?

(d) What is its average speed between \(t=3.0 \mathrm{~s}\) and \(t=6.0 \mathrm{~s}\) ?

(e) Draw to scale the velocity vector for the intervals \(t=3.0 \mathrm{~s}\) to \(t=3.5 \mathrm{~s}, t=3.5 \mathrm{~s}\) to \(t=4.0 \mathrm{~s}\), \(t=4.0 \mathrm{~s}\) to \(t=5.0 \mathrm{~s}\), and \(t=5.0 \mathrm{~s}\) to \(t=6.0 \mathrm{~s}\). 

(f) What is the sum of all the vectors you drew in part \(e\) ?

Data from Figure P2.52

x (m) 3 2 M 0 0 2 3 4 5 6 t(s)