Question

noah drives his car 9 kilometers north. he stops for lunch and then drives 5 kilometers. draw a vector diagram. what distance did he drive? what was his displacement? speed equations: s = d÷t, t = d÷s, d = s * t. the sound of a pin drop moves at 331 m/s. how far does it go in 20 seconds?

Explanation:

Step1: Calculate total distance

$9\ \text{km} + 5\ \text{km} = 14\ \text{km}$

Step2: Calculate displacement magnitude

$\sqrt{9^2 + 5^2} = \sqrt{81 + 25} = \sqrt{106} \approx 10.3\ \text{km}$

Step3: Determine displacement direction

Northwest (perpendicular north and west)

Answer:

Distance: 14 kilometers, Displacement: Approximately 10.3 kilometers northwest