Question

Solve the equation ΔX = Vot + (1/2)(at²) for t.

Answer 1

To solve the equation ΔX = Vot + (1/2)(at²) for t, subtract Vot from both sides, then multiply by 2/a, and finally, take the square root of both sides.

Step-by-step explanation:

To solve the equation ΔX = Vot + (1/2)(at²) for t, we can rearrange the equation. Subtract Vot from both sides to isolate (1/2)(at²). Then, multiply both sides by 2/a to solve for t². Finally, take the square root of both sides to find t.

The steps are as follows:

1. Start with the equation ΔX = Vot + (1/2)(at²)
2. Subtract Vot from both sides: ΔX - Vot = (1/2)(at²)
3. Multiply both sides by 2/a: (2/a)(ΔX - Vot) = t²
4. Take the square root of both sides: √((2/a)(ΔX - Vot)) = t