Equation 1.1 solves for velocity, where \(\boldsymbol{v}\) is velocity, \(\Delta \boldsymbol{x}\) is displacement, and \(\Delta t\) is change in time

Equation 1.2 solves for speed, where \(\text{speed}\) is speed, \(\Delta d\) is change in displacement, and \(\Delta t\) is change in time

Equation 1.3 solves for acceleration, where \(a\) is acceleration, \(\Delta d\) is change in displacement, and \(\Delta t\) is change in time

Equation 1.1

$$\boldsymbol{v} = {\Delta \boldsymbol{x} \over \Delta t}$$

Equation 1.2

$$\text{speed} = {\Delta d \over \Delta t}$$

Equation 1.3

$$\boldsymbol{a} = {\Delta \boldsymbol{v} \over \Delta t}$$

Equation 1.3 can be modified to give us equation 2.6. To see the step by step process, view pages 37 through 38.

Equation 2.6 solves for final velocity, where \(\boldsymbol{v}\) is final velocity, \(\boldsymbol{v}_{\text{o}}\) is initial velocity, \(\boldsymbol{a}\) is acceleration, and \(t\) is final time.

Equation 1.1 can be modified to give us equation 2.15. To see the step by step process, view pages 40 through 41.

Equation 2.15 solves for final velocity, where \(\boldsymbol{v}\) is final velocity, \(\boldsymbol{v}_{\text{o}}\) is initial velocity, \(\boldsymbol{a}\) is acceleration, and \(\Delta \boldsymbol{x}\) is displacement.

Equation 2.19 solves for final velocity, where \(\Delta \boldsymbol{x}\) is displacement, \(\boldsymbol{v}_{\text{o}}\) is initial velocity, \(t\) is time, and \(\boldsymbol{a}\) is acceleration.

Equation 2.6

$$\boldsymbol{v} = \boldsymbol{v}_{\text{o}} + \boldsymbol{a} t$$

Equation 2.15

$$\boldsymbol{v}^2 = \boldsymbol{v}_{\text{o}}^2 + 2 \boldsymbol{a} \times \Delta \boldsymbol{x}$$

Equation 2.19

$$\Delta \boldsymbol{x} = \boldsymbol{v}_{\text{o}} t + {1 \over 2} \boldsymbol{a} t^2$$