Solve for \( v \) in the equation:

\[ S = vt + 16t^2 \]

S = v t + 16 t 2 ∣ s u b t r a c t 16 t 2 S − 16 t 2 = v t ∣ d i v i d e b y t t S − 16 t 2 ​ = v \Solution i s v = t S − 16 t 2 ​ .

Answered by luana | 2024-06-10

To solve the equation S = vt + 16t^2 for v, we need to isolate v on one side of the equation. Here's a step-by-step solution:

Start with the given equation: S = vt + 16t^2 .
Since we want to solve for v, we need to get rid of the term 16t^2. We do this by subtracting 16t^2 from both sides of the equation: S - 16t^2 = vt .
Now, we have S - 16t^2 = vt . To isolate v, we need to divide both sides by t: v = (S - 16t^2) / t.
The final step gives us the equation for v in terms of S and t: v = S/t - 16t.

Therefore, the velocity v is equal to the displacement S divided by time t minus 16 times t.

Answered by Qwcold | 2024-06-18

To solve for v in the equation S = v t + 16 t 2 , we rearrange the equation to isolate v . The final formula for v is v = t S − 16 t 2 ​ .
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Answered by luana | 2024-10-14