Answer: 12/5
Step-by-step explanation:
Projectile motion is characterized by a motion that has two vector forces: the velocity along the x and y directions. As a result, the motion follows an arc-shaped direction. These two directions are actually independent of each other.
There are already derived equations for this so it is already convenient. However, your given equation for range is incomplete. The correct equation is:
R = v₀²sin2θ/g
where
R = 140 ft
v₀ = 120 ft/s
g = 32.2 m/s²
Substituting the values,
sin 2θ = Rg/v₀²
sin 2θ = (140)(32.2)/(120²)
sin 2θ = 0.313
2θ = sin ⁻¹ (0.313)
2θ = 18.24°
θ =18.24°/2
θ = 9.12°
The equivalent polynomial is 12x^2 -23x - 24.
You can get this by multiplying the two parenthesis by each other.
First start by multiplying the two front numbers:
4x * 3x = 12x^2
Then multiply the outermost numbers:
4x * -8 = -32x
Then multiply the innermost numbers:
3x * 3 = 9x
Then multiply the last numbers:
3* -8 = -24
Now combine all of them to get the above polynomial.
Answer:
Self-control
Why:
Most people would feel pressured to respond to an email, you are showing self-control by resisting the urge.
Answer:
Step-by-step explanation:
First, transform the fraction inside the square root into the following:
.
Next, you can take the square root of 36 (
), which is 6 (
).
Then, you can take the square root of 169 (
), which is 13 (
)
