Question

using the magical trianglesolving for distance$v cdot t$solving for velocity$\frac{d}{t}$solving for time$\frac{d}{v}$sample problems1. a racecar driver has an average speed of 50 m/s. it takes 175 seconds for the car to complete the course. how many meters long is the course?2. a rocket travels at a speed of 500 m/s. how long will it take to travel 113,000 m?research the speeds of the following objects. convert all speeds to m/s using google.|object|speed in miles/hr|speed in m/s|| ---- | ---- | ---- ||find the speed of your favorite animal.|animal: lion<br>speed: 50 mph|speed:||world record: sprinting|speed:|speed:||find the top speed of the fastest vehicle you can think of...|vehicle:<br>speed:|speed:||baseball pitch|speed:|speed:||driving on the highway|speed:|speed:

Explanation:

Step1: Solve for racecar distance

Use formula $D = v \times t$. Substitute $v=50$ m/s, $t=175$ s:
$D = 50 \times 175 = 8750$ meters

Step2: Solve for rocket travel time

Use formula $t = \frac{D}{v}$. Substitute $D=113000$ m, $v=500$ m/s:
$t = \frac{113000}{500} = 226$ seconds

Step3: Convert speeds to m/s

Use conversion factor $1$ mph $= 0.44704$ m/s:

• Lion: $50 \times 0.44704 = 22.35$ m/s
• Sprint record (Usain Bolt): $27.8 \times 0.44704 = 12.43$ m/s
• ThrustSSC: $763 \times 0.44704 = 341.0$ m/s
• Fastest baseball pitch: $105 \times 0.44704 = 46.94$ m/s
• Highway speed (US average): $65 \times 0.44704 = 29.06$ m/s

Answer:

1. 8750 meters
2. 226 seconds

Object	Speed in miles/hr	Speed in m/s
World record: sprinting	27.8 mph	12.43 m/s
Find the top speed of the fastest vehicle you can think of... (ThrustSSC)	763 mph	341.0 m/s
Baseball pitch	105 mph	46.94 m/s
Driving on the highway	65 mph	29.06 m/s