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:
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Step-by-step explanation:
Answer:
- 3x² + x + 5
Step-by-step explanation:
Given
(4x + 5) + (- 3x² - 3x) ← remove parenthesis
= 4x + 5 - 3x² - 3x ← collect like terms
= - 3x² + (4x - 3x) + 5
= - 3x² + x + 5
Answer:
,
Step-by-step explanation:
Given:
Number of people in a group = 4
Each person gets cup of juice = 
Question asked:
How much tomato juice is needed for a group of four people ?
How much tomato juice is needed if they each get 2/3 cup of juice ?
Solution:
<u>Unitary method:</u>
In case of each person gets
up of juice.
1 person gets cup of juice = 
4 persons gets cup of juice = 
Therefore,
is needed for a group of four people.
In case of each person gets
cup of juice.
1 person gets cup of juice = 
4 persons gets cup of juice = 
Thus,
cups of tomato juice is needed if they each get
cup of juice.
Answer:
Hope this helps :D
Step-by-step explanation:
Here are the steps in dividing polynomials using the long method:
Arrange the indices of the polynomial in descending order. Replace the missing term(s) with 0.
Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor. This gives the first term of the quotient.
Multiply the divisor by the first term of the quotient.
Subtract the product from the dividend then bring down the next term. The difference and the next term will be the new dividend. Note: Remember the rule in subtraction "change the sign of the subtrahend then proceed to addition".
Repeat step 2 – 4 to find the second term of the quotient.
Continue the process until a remainder is obtained. This can be zero or is of lower index than the divisor.
If the divisor is a factor of the dividend, you will obtain a remainder equal to zero. If the divisor is not a factor of the dividend, you will obtain a remainder whose index is lower than the index of the divisor.