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 \(t = \)\(6\) \(\rm{s}\), \(\Delta v_{y 5 \to 6 }\)

Answer Section#

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

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

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

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

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

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.