Answer:
The velocity of the car after the collision is -5.36 m/s
Step-by-step explanation:
An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.
let the following:
m₁ = mass of the car = 1400 kg
m₂ = mass of the truck = 3200 kg
u₁ = velocity of the car before collision = 13.7 m/s
u₂ = velocity of the truck before collision = 0 m/s
v₁ = velocity of the car after collision
v₂ = velocity of the truck after collision
v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)
= [ 13.7 * (1400 - 3200) + 0 * 2 * 3200 ]/ (1400 + 3200)
= - 5.36 m/s
So, <u>the velocity of the car after the collision is -5.36 m/s</u>
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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Answer:
two sets are said to be overlapping if they contain at least one element in common A=(1,2,3,4)and B =(4,7,1,9)are said to be overlapping sets.
Step-by-step explanation:
please answer my question I answer your question
(xii) NH₂ + Cl₂ →→→→NH₂CI+ N₂
(xiv) NaOH + Cl₂ →→ NaCl + NaCIO + H₂O
" (vi) CH, + 0,— CO, + H,0
xviii) C₂H₂ + O₂2 CO₂ + H₂O
(xx) Na + H₂O → NaOH + H₂
A (xxii) PbO₂ PbO + 0₂
xxiv) NH3 + CuO →→→ → N₂ + H₂O + Cu
xxvi) H₂S + Cl₂ →→→ HCI + S
xviii) H₂S + H₂SO4 → H₂O + SO₂ + S
(xxx) C + HNO3 → CO₂ + NO₂ + H₂O
We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:
Where:
Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:
Now we substitute the values:
Now we solve the operations, we get:
Therefore, the present value must be $39462.50
Answer:
He's right it's 0.8 I got the answer right thanks a lot dude
