Answer:
the height of the porch is H=1.91 m
Step-by-step explanation:
neglecting friction and assuming that the porch is horizontal, then the horizontal speed is v₀= 4 m/s and it does not change , thus he hits the base at
t= L/v₀ , L= horizontal distance
then for vertical motion , since the vertical velocity vy is 0 , the initial height is H ( the height of the porche) and the final height hf is 0 , we have
hf = H + vy*t - 1/2*g*t²
0 = H + 0 -1/2*g*t²
H = 1/2*g*t² = 1/2*g*(L/v₀)²
replacing values with g= gravity = 9.8 m/s²
H = 1/2*g*(L/v₀)² = 1/2*9.8 m/s² *( 2.5 m/ 4 m/s)² = 1.91 m
therefore the height of the porch is H=1.91 m
Answer:
{(3,-2), (4,-2),(5,-2), (6,-2)} this relation is not a function.
Total area = 12 x 24.6 = 295.2
Area of circle = 3.14 x 3.6² = 40.69
Area of square = 4.2 x 4.2 = 17.64
Square and circle = 40.69 + 17.64 = 58.33
Probability = 58.33/295.2 = 0.1976
Rounded answer = 0.20
I believe that answer is 780.
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