For the winter, a duck flies at 15 m/s due south against a gust of wind due north. If the wind is blowing at 5 m/s, calculate the resultant velocity of the duck.

Explanation:

The north direction is towards the positive y direction on the coordinates axis and the south is towards the negative direction of the coordinate axis.

If a duck flies at 15 m/s due south against a gust of wind, then the duck velocity will be -15m/s

If the wind is blowing at 5 m/s due north, the velocity of the wind will be +5m/s

The resultant velocity of the duck will be the sum of the velocity along the y - component = -15 + 5 = -10m/s

Hence the resultant velocity of the dock is -10m/s

c. convergent boundary.

explanation:

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂