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A man walking with spped ‘v’ constant in magnitude and direction passes under a lantern hanging at a height H above the ground (consider lantern as apoint source).Find the velocity with which the edge of the shadow of man’s head moves over the ground?

A man walking with spped ‘v’ constant in magnitude and direction passes under a lantern hanging at a height H above the ground (consider lantern as apoint source).Find the velocity with which the edge of the shadow  of man’s head moves over the ground?

Grade:12th pass

1 Answers

Vikas TU
14149 Points
4 years ago
U would have to draw the situation first then similarize thriangles to get the relation in height and speed.
.
Assume at s distance the lamp is at h height
and H remained as and s0 be the  shadow distance with s0 > s.
then similar the triangles U would get as:
v/(H-h) = v’/H
get the v’.

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