Question

3 formula 1 point a gecko on a tiny skateboard has an acceleration equal to 6 (units left intentionally blank because of the previous problem about units). how much does the geckos velocity change each second? answer 4 multiple choice 1 point last class we learned the first kinematic equation shown here: v = v₀+at rearrange the equation to solve it for acceleration \t\ in terms of the other variables. t = v/a - v₀ t = v₀ - v/a t = v - v₀/a t = v₀ + va t = v/v₀a

Explanation:

Step1: Recall acceleration definition

Acceleration is the rate of change of velocity. So if acceleration $a = 6$, the velocity - change per second is equal to the acceleration value.

Step2: Determine answer

The gecko's velocity changes by 6 units each second.

Step3: Rearrange kinematic equation

Given $v=v_0 + at$, we want to solve for $t$. First, subtract $v_0$ from both sides: $v - v_0=at$. Then divide both sides by $a$ to get $t=\frac{v - v_0}{a}$.

Answer:

1. 6
2. $t=\frac{v - v_0}{a}$ (corresponding to the correct option among the multiple - choice ones which is the third option in the list presented in the problem)