In an experiment two identical rocks are simultaneously thrown from the edge of a cliff a distance ho above the ground. Rock A is thrown vertically upward with speed vo and rock B is thrown vertically downward with speed vo. Rock A and rock B strike the ground at times tд and tв, respectively. Consider the positive vertical direction to be upward.
In an experiment two identical rocks are simultaneously thrown from the edge of a cliff a distance ho above the ground. Rock A is thrown vertically upward with speed vo and rock B is thrown vertically downward with speed vo. Rock A and rock B strike the ground at times tд and tв, respectively. Consider the positive vertical direction to be upward.
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How do we slove part B using distance = initial velocity * time + 1/2*acceleration* time2 formula?

Transcribed Image Text:This question is a short free-response question. Show your work for each part of the question.
In an experiment two identical rocks are simultaneously thrown from the edge of a cliff a distance ho above the
ground. Rock A is thrown vertically upward with speed vo and rock B is thrown vertically downward with speed
vo. Rock A and rock B strike the ground at times tд and tв, respectively. Consider the positive vertical direction
to be upward.
(a) On the axes given below, sketch and label graphs of the velocity as a function of time for rock A and rock B.
Label the time t. Times tд and ta are given on the graph.
2
Velocity
O
I
I
F-T-1
-+
十一十一个
T-T-
I
||| I
L-LL.
---
I
+-+-+-+-+-
L
1
2₁
A
ו־ד־ר־
t
Time
(b) Rock B hits the ground at time tå. Derive an equation for the time tд it takes rock A to hit the ground in terms
of vo, tв, and physical constants, as appropriate.
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