Question

Fully explain step-by-step Questions number one a,b,c,d solve for all required

Answer 1

(1) The equation is

`v_2=v_1+a\Delta t`

For v_1,

`\begin{gathered} v_2=v_1+a\Delta t \\ Subtract\text{ a}\Delta t\text{ on both sides.} \\ v_2-a\Delta t=v_1+a\Delta t-a\Delta t \\ v_2-a\Delta t=v_1 \end{gathered}`

For a,

`\begin{gathered} v_2=v_1+a\Delta t \\ \text{Subtract v}_1\text{ on both sides} \\ v_2-v_1=v_1-v_1+a\Delta t \\ v_2-v_1=a\Delta t \\ \text{Divide }\Delta t\text{ on both sides.} \\ (v_2-v_1)/(\Delta t)=a(\Delta t)/(\Delta t) \\ (v_2-v_1)/(\Delta t)=a \end{gathered}`

For time,

`\begin{gathered} v_2=v_1+a\Delta t \\ \text{Subtract v}_1\text{ on both sides} \\ v_2-v_1=v_1-v_1+a\Delta t \\ v_2-v_1=a\Delta t \\ \text{Divide }a\text{ on both sides.} \\ (v_2-v_1)/(a)=(a)/(a)\Delta t \\ (v_2-v_1)/(a)=\Delta t \end{gathered}`