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). 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.) = Sa Hint

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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).
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.)
Hint
Hint
Transcribed Image Text: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). 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.) Hint Hint
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