Question

Solve for a in the equation ΔX = Vot + (1/2)(at²)

Answer 1

To solve for acceleration 'a' in the equation ∆X = Vot + (1/2)(at²), we can rearrange it to ³α = (2∆X)/t², substitute the known values of displacement (∆X) and time (t), and solve for ³α.

Step-by-step explanation:

The equation ∆X = Vot + (1/2)(at²) is used to solve for displacement when given initial velocity (³ο), acceleration (³α), and time (³τ). To solve for acceleration (³α), we need to rearrange the equation. Assuming the initial velocity is zero (starting from rest), the equation simplifies to ∆X = (1/2)(at²). From this, we can isolate ³α by multiplying both sides by 2, and then dividing by t², yielding ³α = (2∆X)/t².

To solve for ³α in the given equation:

1. Rearrange the equation: ³α = 2∆X/t².
2. Substitute the known values of ∆X and t into the new equation.
3. Solve for ³α.