Motion & Force
Lesson-2
Speed, Velocity, & Acceleration:
Objectives:
Determine the Average Speed of an object
- from Calculations.
- using distance-versus-time graphs.
Text evidence to compare
- Velocity, Speed, & Acceleration.
Interpret Graphs
- to determine acceleration.
Q. How do you determine speed from calculations and distance-versus-time graphs?
Q. How is velocity related to speed and acceleration?
Q. How can you interpret graphs to determine acceleration?
Vocabulary:
Speed = The speed of an object is the distance the object moves per unit of time.
Instantaneous Speed = The speed is a particular instant in time is called instantaneous speed.
Slope = The angle of a line on a graph is called slope.
Velocity= The speed at which an object travels in a given direction is called velocity.
Acceleration
Average
Variable
Q. How does the snow help the sled move down the hill?
Ans: It reduces friction between the sled and the ground.
Q. How would you describe the difference in the motion of the sled from when the people first start pushing to when the sled is halfway down the hill?
Ans: The sled starts off slowly, and halfway down the hill it is moving much more quickly.
Reading Check:
Explain: How does instantaneous speed differ from average speed?
Ans: Instantaneous speed is speed at a particular moment. Average speed is an average over a certain amount of time, given by the total distance divided by total time.
Average Speed
Q. A racer at the Daytona 500 zips around the track. It travels the first 80 km in 0.4 hours. The next 114 kilometers take 0.6 hours. The following 80 kilometers take 0.4 hours. Calculate the racecar's average speed.
Solution: Average speed = Total distance / Total time
= (80km + 114km + 80km)/ (0.4h +0.6h +0.4h)
= 274km/1.4h
= 195.7 km/h
Reading Check
Q. How can understanding velocity help to prevent a mid-air collision?
Ans: Knowing the velocities of the planes can help determine whether they are heading toward one another and how quickly they are moving.
Calculate:
On landing, the plane touches the runway with a speed of 65 m/s. The figure shows the speed of the plane after 1 second. Calculate the acceleration of the plane during its landing.
Acceleration = (60 m/s - 65 m/s) / 1 s
= -5 m/s²
3. Translate Information:
Q. What does a negative value for acceleration mean here?
Ans: It indicate that the airplane is decelerating, or slowing down.
Reading Check:
Summarize:
Q. How are the speed, velocity, and acceleration of a moving object related?
Ans: Acceleration is the rate which the object's velocity changes. A change in velocity can involve a change in the object's speed, direction, or both.
Lesson 2 Check:
1. Relate Change:
Q. What three changes in motion show that an object is accelerating?
Ans: It speeds up, slows down, or changes direction.
2. Calculate:
Q. What is the average speed of a train that covers 80 km in 1 h, 200 km in 2h, and 420km in 4h?
Ans: (80km + 200km + 420km)/ (1h +2h+4h)
= 700 km/7h
= 100 km/h
3. Evaluate your Claim:
Q. A ball is pushed from a stop and rolls 6m in 2 s. Student A says the average speed of the ball is 3m/s. Student B says the average speed of the ball is 1.5 m/s². Which student is correct? Explain your answer.
Ans: Student A is correct. Speed is distance divided by time. Student B found the ball's acceleration, not its speed.
4. Interpret Data:
Q. A student graphed distance versus time for an object that moves 14m every 2 s. What is the slope of the line on the graph? Explain.
Ans: The speed of the object is 7 m/s, so the slope of the line is 7 m/s. The slope of the line equals the speed on this type of graph.
5. Apply Scientific Reasoning:
Q. If the line on a distance-versus-time graph and the line on a speed-versus-time graph are both straight lines going through the origin, can the two graphs be displaying the motion of the same object? Explain.
Ans: No, A straight line through the origin on a distance-versus-time graph shows an object moving at constant speed and a straight line through the origin on a speed-versus-time graph shows an object changing speed or accelerating.






































