You can write the equations of motion as
h(t) = -16t² + v₀sin(θ)t
d(t) = v₀cos(θ)t
Solving the second of these for t and substituting into the first equation gives the time of flight as
0 = -16t² + d(t)·tan(θ)
t = √(d(t)·tan(θ)/16)
So, for d(t) = 400 and θ = π/6, this becomes
t = √((400/16)/√3)
t = 5/√(√3) ≈ 3.79918
The ball is in the air about 3.80 seconds.
Answer: Yes; " d/t = r " ;
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is, in fact, an equivalent equation to: "d = r t" .
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Explanation:
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Consider the equation: "d = rt" (which is, " d = r*t ").
We are asked if: " d/t = r " an "equivalent equation" [ to: " d = rt "] .
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Note that: "d/t = r " is the same as: ↔ "r = d/t ".
So, given: "d = rt" ; let us rewrite the equation, by isolating: "r" on one side of the equation:
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→ d = r t ; divide EACH SIDE of the equation by "t" ; to isolate "r" on one side of the equation:
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→ d/t = (r*t) / t ; to get:
→ d/t = r ; so yes; "d/t = r" and: "d = rt" are equivalent equations.
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Note: In practice, these variables are often used in the formula:
"d = rt" ; or, "distance = rate * time" .
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Answer:
Step-by-step explanation:
6x - 3 - 11
6(4) - 3 - 11
24 - 14
10
Answer:
C. z and y
Step-by-step explanation:
By Definition of Vertical Angles the angles opposite each other when two lines cross are always equal. vertical angles refer to this.
"Vertical" refers to the vertex (where they cross)
Answer:
x is less than or equal to 7
Step-by-step explanation: