A crate which is able to move casts a shadow on a nearby wall due to a light source at S. The crate has a height H and rolls toward the wall with a constant speed v, starting from the light S at time t = 0. The light S is a fixed distance d from the wall. Determine the speed at which the top of the crate's shadow moves down the wall as a function of time, vs(t).

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter1: Introduction And Vectors
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Question 16
Vs
Us
V
=
<
H
>
|
d-
A crate which is able to move casts a shadow on a nearby wall due to a light source at S. The crate has a
height H and rolls toward the wall with a constant speed v, starting from the light S at time t = 0. The light
S is a fixed distance d from the wall. Determine the speed at which the top of the crate's shadow moves down
the wall as a function of time, vs(t).
S
Your answer should be an expression in terms of t, v, d and H. (Since we're interested in the speed only, your
answer should be positive.)
Transcribed Image Text:Question 16 Vs Us V = < H > | d- A crate which is able to move casts a shadow on a nearby wall due to a light source at S. The crate has a height H and rolls toward the wall with a constant speed v, starting from the light S at time t = 0. The light S is a fixed distance d from the wall. Determine the speed at which the top of the crate's shadow moves down the wall as a function of time, vs(t). S Your answer should be an expression in terms of t, v, d and H. (Since we're interested in the speed only, your answer should be positive.)
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