Throwing a Rock

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

Part 1

Compare the change in the \(y\)-component of the velocity of the rock in the time interval from \(t = \)\(1\) \(\rm{s}\) to \(t =\)\(4\) \(\rm{s}\), \(\Delta v_{y 1 \to 4 }\), to the change in the \(y\)-component of the velocity of the rock from \(t = \)\(4\) \(\rm{s}\) to \(t = \)\(6\) \(\rm{s}\), \(\Delta v_{y 4 \to 6 }\)

Answer Section

• \(\Delta v_{y 1 \to 4 } = \Delta v_{y 4 \to 6 } + 1 \)

• \(\Delta v_{y 1 \to 4 }=0\) ; \(\Delta v_{y 4 \to 6 }<0\)

• \(\Delta v_{y 1 \to 4 } = \frac{ 2 }{ 3 }\Delta v_{y 4 \to 6 }\)

• \(\Delta v_{ y 1 \to 4 } = \frac{ 3 }{ 2 }\Delta v_{y 4 \to 6 }\)

• \(\Delta v_{y 1 \to 4 } = \frac{ 3 }{ 5 }\Delta v_{y 4 \to 6 }\)

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.