A small rock is thrown straight up with initial speed v0 fromthe edge of the roof of a building with height H. The rock travels upwardand then downward to the ground at the base of the building. Let+y be upward, and neglect air resistance. (a) For the rock’s motion fromthe roof to the ground, what is the vertical component vav-y of its averagevelocity? Is this quantity positive or negative? Explain. (b) Whatdoes your expression for vav-y give in the limit that H is zero? Explain.(c) Show that your result in part (a) agrees with Eq. (2.10)

A small rock is thrown straight up with initial speed v0 fromthe edge of the roof of a building with height H. The rock travels upwardand then downward to the ground at the base of the building. Let+y be upward, and neglect air resistance. (a) For the rock’s motion fromthe roof to the ground, what is the vertical component vav-y of its averagevelocity? Is this quantity positive or negative? Explain. (b) Whatdoes your expression for vav-y give in the limit that H is zero? Explain.(c) Show that your result in part (a) agrees with Eq. (2.10)

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Question

A small rock is thrown straight up with initial speed v0 from
the edge of the roof of a building with height H. The rock travels upward
and then downward to the ground at the base of the building. Let
+y be upward, and neglect air resistance. (a) For the rock’s motion from
the roof to the ground, what is the vertical component vav-y of its average
velocity? Is this quantity positive or negative? Explain. (b) What
does your expression for vav-y give in the limit that H is zero? Explain.
(c) Show that your result in part (a) agrees with Eq. (2.10)

Expert Solution