part 2 - speed and velocity calculations: for problems 5 - 10 use the speed and velocity formulas to solve…

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: Plug in values

Given $d = 75$ km and $t=15$ h, we substitute into the formula: $v=\frac{75\ km}{15\ h}$.

Step3: Calculate speed

$v = 5$ km/h.

For velocity, since the motion is in a straight - line (due east) and there is no change in direction information provided, the magnitude of velocity is the same as speed in this case.

Step4: Recall velocity formula

Velocity is a vector quantity, but when motion is in a straight - line, $v=\frac{\Delta x}{\Delta t}$, where $\Delta x$ is displacement and $\Delta t$ is time. Here, displacement $\Delta x = 75$ km (as the path is straight) and $\Delta t = 15$ h.

Step5: Plug in values for velocity

$v=\frac{75\ km}{15\ h}$.

Step6: Calculate velocity

$v = 5$ km/h due east.

Answer:

a. Equation: $v=\frac{d}{t}$ Plug numbers into the equation: $\frac{75\ km}{15\ h}$ Final Answer w/ units: $5$ km/h b. Equation: $v=\frac{\Delta x}{\Delta t}$ Plug numbers into the equation: $\frac{75\ km}{15\ h}$ Final Answer w/ units: $5$ km/h due east