You are climbing the stairs to the second floor with a speed of 3 m/s while a raindrop is sliding down the back of your coat at a speed of 0.3 m/s. The stairs make an angle of 40 degrees with the horizontal. We are interested in the velocity of the raindrop relative to the ground? The problem has three velocities vector(pg) = velocity of you relative to the ground vector(dp) = velocity of drop relative to you vector(dg) = velocity of drop relative to the ground 1. Draw vectors for the two given velocities into the coordinate system. Please show the angle theta = 40 degrees. 2. Collect the information about the speeds and calculate the x- and y-components of the given velocities. 3. Express vector(dg) in terms of the other velocities; then write the equations for the x- and the y-component of vector(dg) (no numbers). 4. Calculate the x- and y-components of the velocity of the drop relative to the ground. 5. Check your calculations with a graphical addition of velocity vectors in the coordinate-system of step 1.
You are climbing the stairs to the second floor with a speed of 3 m/s while a raindrop
is sliding down the back of your coat at a speed of 0.3 m/s. The stairs make an angle
of 40 degrees with the horizontal. We are interested in the velocity of the raindrop relative to the ground?
The problem has three velocities
vector(pg) = velocity of you relative to the ground
vector(dp) = velocity of drop relative to you
vector(dg) = velocity of drop relative to the ground
1. Draw vectors for the two given velocities
into the coordinate system. Please show
the angle theta = 40 degrees.
2. Collect the information about the speeds
and calculate the x- and y-components of
the given velocities.
3. Express vector(dg) in terms of the other velocities; then write the equations for the x-
and the y-component of vector(dg) (no numbers).
4. Calculate the x- and y-components of the velocity of the drop relative to the
ground.
5. Check your calculations with a graphical addition of velocity vectors in the
coordinate-system of step 1.
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