Question

S = vt + 16t^2, solve for v.

Answer 1

To solve for v in the equation S = vt + 16t^2, subtract 16t^2 from both sides and then divide by t to isolate v. The solution is v = S/t - 16t.

Step-by-step explanation:

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:

1. Start with the given equation: S = vt + 16t^2.
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.
3. Now, we have S - 16t^2 = vt. To isolate v, we need to divide both sides by t: v = (S - 16t^2) / t.
4. 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.

Answer 2

`S=vt+16t^2\ \ \ \ \ | subtract\ 16t^2\\\\ S-16t^2=vt\ \ \ \ \ | divide\ by\ t\\\\ (S-16t^2)/(t)=v\\\\\Solution\ is\ v=(S-16t^2)/(t).`