# Throwing a Rock#

A rock is thrown vertically upward from an initial height of $$1 \; \rm{m}$$. It reaches its maximum height at $$t =$$$$3$$$$.5 \; \rm{s}$$ after its release.

## Part 1#

Compare the change in the $$y$$-component of the velocity of the rock in the time interval from $$t =$$$$3$$ $$\rm{s}$$ to $$t =$$$$5$$ $$\rm{s}$$, $$\Delta v_{y 3 \to 5 }$$, to the change in the $$y$$-component of the velocity of the rock from $$t =$$$$5$$ $$\rm{s}$$ to $$t =$$$$6$$ $$\rm{s}$$, $$\Delta v_{y 5 \to 6 }$$

• $$\Delta v_{y 3 \to 5 } = \Delta v_{y 5 \to 6 } + 1$$

• $$\Delta v_{y 3 \to 5 }=0$$ ; $$\Delta v_{y 5 \to 6 }<0$$

• $$\Delta v_{y 3 \to 5 } = \frac{ 1 }{ 2 }\Delta v_{y 5 \to 6 }$$

• $$\Delta v_{ y 3 \to 5 } = 2\Delta v_{y 5 \to 6 }$$

• $$\Delta v_{y 3 \to 5 } = \frac{ 2 }{ 3 }\Delta v_{y 5 \to 6 }$$