Lesson 6 — 4.4 acceleration & speed-time graphs

• Natuurkunde / Scheikunde
• Middelbare school
• havo
• Leerjaar 1

Lessonplan

Notes

Topic: 4.4 acceleration and speed time graph

Speed is a change of distance over time.

acceleration is a change of speed over time.

Speed is how fast something moves

looked at formally it becomes — a change of distance over time.

Acceleration is about something speeding up.

Looked at formally it becomes — a change in speed over time.

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4.4

Working on exercises

2 lessons.

Lesson 1: 

Learning goals

• calculating acceleration
• Rearranging the formula for acceleration
• the unit of acceleration
• reading a speet-time graph
• Terminal velocity

This lesson

4.4 Acceleration & speed-time graphs

Learning goals

• Calculate acceleration
  
• Define the unit for acceleration
  
• Rearrange the formula for acceleration
  
• Read a speed-time graph correctly
  
• Explain terminal velocity
  

What is

Acceleration?

Speed

• A change in distance  over time
  

Acceleration

• A change in speed over time 
  

Speed

Acceleration

• A change in speed over time 
  

speed=​time​​distance​​

Speed

Acceleration

speed=​time​​distance​​

acceleration=​time​​changeinspeed​​

Acceleration

acceleration=​time​​changeinspeed​​

acceleration=​time​​finalspeed−startingspeed​​

a=​t​​v​f​​−v​i​​​​=​t​​Δv​​

acceleration=​time​​finalspeed−startingspeed​​

( change) in speed) 

a=​t​​v​f​​−v​i​​​​

acceleration=​time​​finalspeed−startingspeed​​

• a: acceleration
  
• vf: final speed
  
• vi: initial speed
  
• t: time
  

The unit of acceleration

m/s

2

Why is the unit of 

acceleration m/s ? 

2

Unit of speed

Unit of Acceleration

• distance/time
•  m/s

• speed/time
  
•  (m/s)/s

Unit of speed

Unit of Acceleration

• distance/time
•  m/s

• speed/time
  
•  m/s

2

Unit of Acceleration

• speed/time
  
• (m/s)/s
  

m/s

2

Exercise

1)

A car pulls up from standing still up to a speed of 22.4 m/s in 2.55s. Calculate its acceleration.

Answer: 8,78 m/s2 

2)

A roller coaster picks up speed as it rolls down the track. Starting with a speed of 4 m/s it accelerates to 22 m/s in three seconds. Calculate its acceleration. Answer 6 m/s2

3)

why is the unit of acceleration m/s2?

Exercise

Maurice cycles at a speed of 5m/s. Over a period of 6 seconds he accelerates to a speed of 8/ms. Calculate his acceleration. Answer 0,5 m/s2

a=​t​​v​f​​−v​i​​​​

acceleration=​time​​finalspeed−startingspeed​​

The formula for acceleration

The unit of acceleration

m/s

2

Acceleration

acceleration=​time​​finalspeed−startingspeed​​

Exercise

A race car accelerates from 18.5 m/s to 46.1 m/s in 2.47 seconds. Calculate its change in speed. Answer 11,17 m/s2

Learning goals

• Calculate acceleration
• Define the unit for acceleration
• Rearrange the formula for acceleration
• Read a speed-time graph correctly
• Explain terminal velocity
  

Homework

Make worksheet 4.4