Motion

Motion a change in an object’s position Linear motion: motion in a single dimension (in a line). When you talk about an object’s motion, you are referring to a rate Rate: A quantity divided by time - tells how quickly something happens

Speed Speed: the distance covered per unit of time. A measure of how fast something is moving. the rate at which distance is covered. Ex: 100 km/hr, 55 mph, 30 m/s Equation: s = d / t s = speed d = distance (m, km, cm, mi, ft) t = time (s, hr, day, minute, year, millenium )

Instantaneous speed the speed at any given instant Ex: speedometer Average speed the total distance covered divided by the time it takes to cover that distance Average speed does not indicate changes in the speed that may take place during a trip. BOTH instantaneous and average speeds indicate the rate at which distance is covered.

Speed practice If a nascar driver was able to drive 600 miles in 3 hours, what was his average speed?

Speed practice 2 What is the speed of a car that travels 20 miles in 40 minutes?

Check Your Understanding Discuss with a neighbor how motion and speed are related Discuss with a different neighbor how instantaneous speed and average speed are similar and how they are different

Velocity Velocity: speed in a given direction When we say that a car travels 60km/hr, we are indicating it’s speed. When we say that a car is traveling 60km/hr to the north, we are indicating it’s velocity. Velocity: speed in a given direction Ex: 100 km/hr East, 55 mph North, 30 m/s Southwest Equation: v = d / t Speed is a description of how fast an object moves; velocity is how fast it moves AND in what direction .

Check Your Understanding The speedometer of a car moving northward reads 100 km/h. It passes another car that travels southward at 100 km/h. Do both have the same speed? Do they have the same velocity? Discuss with a neighbor Both cars have the same speed, but they have opposite velocities because they are moving in opposite directions.

Constant Velocity Constant velocity requires both constant speed and constant direction. Motion at constant velocity is in a straight line at constant speed. Changing Velocity Constant speed and constant velocity are not the same thing. A body may move with constant speed around a curved path, but it does not move with constant velocity because the direction changes at every instant.

Let’s do the math We’ve practiced calculating speed when given distance and time, but can you find distance if given speed and time? Of course you can, you just need to rearrange the speed formula so that you are solving for distance Try it – calculate distance if given: Speed = 8 m/s T = 2 s

Try it: find time if given: You can also find time if given speed and distance, just rearrange the speed formula to solve for time Try it: find time if given: S = 6 km/s, d = 30 km

Quick Check 1.  How are velocity and speed similar? 2.  How are they different? 3.  What must happen for velocity to remain constant (hint, there are two things)? 4. Draw the magic triangle for speed 5. Write the formula to solve for time if given speed and distance

Position - Time graphs Position-Time graphs show the distance covered over an elapsed time Aka Distance-Time graphs and Displacement-Time graphs Time is always the independent variable

Position (distance) is always the dependent variable The slope of a Position-Time graph is equal to velocity Slope = rise/run Slope = position / time Velocity = position / time The steeper the slope, the faster the velocity A positive slope is forward motion A negative slope is moving backwards A zero slope is NOT moving at all

Finding speed from a graph To determine speed from this graph, do the following: Pick two points Determine how much distance was covered between the two points Determine how much time passed between the two points Plug those #s into the speed equation and solve

Check Your Understanding Discuss with a neighbor: Which person is moving faster, the red or blue jogger? What does it mean to move faster in terms of distance? The red jogger. The red jogger’s line has a steeper slope and therefore a faster speed.

Check Your Understanding Are both joggers moving forwards or backwards? Forwards. The slope is positive, meaning that the distance increases over time.