Question

1. jessica jogs on a path that is 25 kilometers long to get to a park that is south of the jogging path. if it takes jessica 2.5 hours then

a. what is her speed?
equation:
plug numbers into the equation
final answer w/ units

b. what is her velocity?
equation:
plug numbers into the equation
final answer w/ units

Explanation:

Step1: Recall speed formula

The formula for speed is $v = \frac{d}{t}$, where $v$ is speed, $d$ is distance, and $t$ is time.

Step2: Identify values

$d = 25$ km and $t=2.5$ hours.

Step3: Calculate speed

$v=\frac{25}{2.5}=10$ km/h

For velocity, velocity is a vector quantity which has both magnitude and direction. The magnitude of velocity (in this case where she moves in a straight - line path) is calculated the same way as speed. The direction is south.

Step4: Recall velocity formula

The formula for velocity is $\vec{v}=\frac{\vec{d}}{t}$, where $\vec{v}$ is velocity, $\vec{d}$ is displacement (in this case distance since it's in a straight - line) and $t$ is time.

Step5: Identify values

$\vec{d} = 25$ km south and $t = 2.5$ hours.

Step6: Calculate velocity

$\vec{v}=\frac{25\text{ km south}}{2.5\text{ h}} = 10$ km/h south

Answer:

a. Equation: $v=\frac{d}{t}$
Plug numbers into the equation: $v=\frac{25}{2.5}$
Final Answer w/ units: 10 km/h
b. Equation: $\vec{v}=\frac{\vec{d}}{t}$
Plug numbers into the equation: $\vec{v}=\frac{25\text{ km south}}{2.5\text{ h}}$
Final Answer w/ units: 10 km/h south