which equation can be used to solve for accel...

which equation can be used to solve for acceleration?\no (t=\frac{delta v}{a})\no (v_f = at - v_i)\no (a=\frac{d}{t})\no (delta v=\frac{a}{t})

Answer

# Explanation: ## Step1: Recall acceleration formula Acceleration $a$ is defined as the change in velocity $\Delta v$ over time $t$, i.e., $a=\frac{\Delta v}{t}$. ## Step2: Analyze each option - Option 1: $t = \frac{\Delta v}{a}$ can be rewritten as $a=\frac{\Delta v}{t}$ which is the correct formula for acceleration. - Option 2: $v_f=at - v_i$ is a wrong - arranged form of the kinematic equation $v_f=v_i + at$. - Option 3: $a=\frac{d}{t}$ is the formula for average speed ($v=\frac{d}{t}$), not acceleration. - Option 4: $\Delta v=\frac{a}{t}$ is an incorrect rearrangement of the acceleration formula. # Answer: $t = \frac{\Delta v}{a}$ (first option)