Average Speed and Density Problems

The video tutorial covers compound measures, focusing on speed and density. It explains how speed is calculated as distance over time, with examples involving sprinters and cars. The tutorial also covers density, defined as mass over volume, with examples using metal and wood. Complex problems involving multiple parts are solved for both speed and density, demonstrating how to calculate average speed and density for combined substances.

What is a compound measure?

• A measure that is always constant

• A measure that is formed using other measures

• A measure that is independent of other measures

• A measure that is only used in physics

How is speed calculated?

• Speed equals time divided by distance

• Speed equals distance times time

• Speed equals distance over time

• Speed equals time over distance

If a sprinter runs 400 meters in 46 seconds, what is their average speed?

• 10.0 meters per second

• 8.7 meters per second

• 9.0 meters per second

• 7.5 meters per second

A car travels 294 miles in 5 hours. What is its average speed?

• 55.0 miles per hour

• 62.0 miles per hour

• 60.0 miles per hour

• 58.8 miles per hour

What is the formula for density?

• Density equals volume over mass

• Density equals mass times volume

• Density equals mass over volume

• Density equals volume divided by mass

A piece of metal has a mass of 220 grams and a volume of 21 cm³. What is its density?

• 12.0 grams per cm³

• 11.0 grams per cm³

• 9.5 grams per cm³

• 10.5 grams per cm³

Albert drove 140 miles at an average speed of 60 mph and then 130 miles at 65 mph. What was his average speed for the whole journey?

• 62.3 miles per hour

• 65.0 miles per hour

• 63.5 miles per hour

• 60.0 miles per hour

Liquid A has a density of 0.97 g/mL and Liquid B has a density of 1.05 g/mL. If mixed, what is the density of the combined liquid?

• 1.025 grams per milliliter

• 0.975 grams per milliliter

• 1.000 grams per milliliter

• 1.050 grams per milliliter