Question

part 2 - speed and velocity calculations: for problems 5 - 10 use the speed and velocity formulas to solve the following problems. show your work (formula, numbers with correct units and answer with correct units). 5. bob rides his bicycle on a bike path that is 75 kilometers long to get to his house that is due east of the bike path. if it takes bob 15 hours then a. what is his speed? equation: plug numbers into the equation final answer w/ units b. what is his 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: Plug in values

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

Step3: Calculate speed

$v = 5$ km/h.

Step4: Recall velocity formula

Velocity is a vector quantity and its magnitude is calculated using the same formula as speed when the motion is in a straight - line. The formula is $v=\frac{\Delta x}{t}$, where $\Delta x$ is displacement and $t$ is time. Here, displacement $\Delta x = 75$ km (since the motion is in a straight line to the east) and $t = 15$ h.

Step5: Plug in values for velocity

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

Step6: Calculate velocity

$v = 5$ km/h east.

Answer:

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