Theories have both an explanatory an a predictive function. True
The y-component of the stone's velocity when it is 8 m below the hand is 14.86 m / s
v² = u² + 2 a s
s = Displacement
u = Initial velocity
a = Acceleration
u = 8 m / s
s = 8 m
v² = 8² + 2 * 9.8 * 8
v² = 64 + 156.8
v = √ 220.8
v = 14.86 m / s
The equation used to solve the problem is an equation of motion. These equations are designed to locate an object in motion using components such as velocity, displacement, acceleration and time.
Therefore, the y-component of the stone's velocity is 14.86 m / s
To know more about Equations of motion
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Answer:
The concentration of OH⁻ in the mixture is 0.05 M
Explanation:
The reaction of neutralization between HCl and NaOH is the following:
H⁺(aq) + OH⁻(aq) ⇄ H₂O(l)
The number of moles of HCl is:
![n_{HCl} = C*V = 0.1 mol/L*0.250L = 0.025 moles](https://tex.z-dn.net/?f=%20n_%7BHCl%7D%20%3D%20C%2AV%20%3D%200.1%20mol%2FL%2A0.250L%20%3D%200.025%20moles%20)
Similarly, the number of moles of NaOH is:
![n_{NaOH} = C*V = 0.2 mol/L*0.250L = 0.05 moles](https://tex.z-dn.net/?f=%20n_%7BNaOH%7D%20%3D%20C%2AV%20%3D%200.2%20mol%2FL%2A0.250L%20%3D%200.05%20moles%20)
Now, from the reaction of HCl and NaOH we have the following number of moles of NaOH remaining:
![n_{NaOH} = 0.05 moles - 0.025 moles = 0.025 moles](https://tex.z-dn.net/?f=%20n_%7BNaOH%7D%20%3D%200.05%20moles%20-%200.025%20moles%20%3D%200.025%20moles%20)
Finally, the concentration of OH⁻ in the mixture is:
Therefore, the concentration of OH⁻ in the mixture is 0.05 M.
I hope it helps you!