During 48 minutes, Lebron James shoots and makes 30 shots. Considering the definition of a flux, what is the basketball flux through the hoop in meters squared per second? Assume the rim is a circle with a radius of 0.23 meters. Hint: recall the equation for the area of a circle.a. 5.2 × 10 5 basketballs m − 2 s − 1 b. 5.2 × 10 − 5 basketballs m − 2 s − 1 c. 6.3 × 10 − 2 basketballs m − 2 s − 1 d. 6.3 × 10 2 basketballs m − 2 s − 1

Question

During 48 minutes, Lebron James shoots and makes 30 shots. Considering the definition of a flux, what is the basketball flux through the hoop in meters squared per second? Assume the rim is a circle with a radius of 0.23 meters. Hint: recall the equation for the area of a circle.a.   5.2  ×      10    5       basketballs         m          −      2            s          −      1      b.   5.2  ×      10          −      5           basketballs         m          −      2            s          −      1      c.   6.3  ×      10          −      2           basketballs         m          −      2            s          −      1      d.   6.3  ×      10          2           basketballs         m          −      2            s          −      1

soporoseun · Accepted Answer

Step 1  6.3  ×      10          −      2      30 shots in 48 mins   =  2880 seconds1 shot in   2880      /    30  =  96 secondsStep 2area of circle   =  3.14  ⋅  0.23  ⋅  0.23  =  0.166      m    2    f  l  u  x  =  (  1      /    0.166  ⋅  96  )  =  6.3  ⋅      10          −      2            m          −      2            s          −      1

During 48 minutes, Lebron James shoots and makes 30 shots. Considering the definition of a flux, what is the basketball flux through the hoop in meters squared per second? Assume the rim is a circle with a radius of 0.23 meters. Hint: recall the equation for the area of a circle.

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