Lesson 7 — 4.4 acceleration & speed time graphs

This lesson
  • rearranging the formula for acceleration
  • speed-time graphs

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Slide 1: Slide
Natuurkunde / ScheikundeMiddelbare schoolhavo, vwoLeerjaar 2

This lesson contains 24 slides, with text slides.

Items in this lesson

This lesson
  • rearranging the formula for acceleration
  • speed-time graphs

Slide 1 - Slide

Learning goals 4.4
  • Calculate acceleration
  • Define the unit for acceleration
  • Rearrange the formula for acceleration
  • Read a speed-time graph correctly
  • Explain terminal velocity

Slide 2 - Slide

Learning goals 4.4
  • Calculate acceleration
  • Define the unit for acceleration
  • Rearrange the formula for acceleration
  • Read a speed-time graph correctly
  • Explain terminal velocity

Slide 3 - Slide

Recap
  • What is the formula for acceleration
  • What is the unit of acceleration. Explain your answer

Slide 4 - Slide

acceleration=timefinalspeedstartingspeed

Slide 5 - Slide

a=tvfvi
acceleration=timefinalspeedstartingspeed
Or 
a= 
Δv
÷t

Slide 6 - Slide

a=tvfvi
acceleration=timefinalspeedstartingspeed
  • a: acceleration
  • vf: final speed
  • vi: initial speed
  • t: time

Slide 7 - Slide

Unit of Acceleration
  • speed/time
  • (m/s)/s


Slide 8 - Slide

Unit of Acceleration
  • speed/time
  • (m/s)/s


m/s
2

Slide 9 - Slide

Rearranging the formula for speed
a=tvfvi
3=26
                                     is the same as                v = a.t 
 
                                     is the same as          


Δ
a=Δtv
(vfvi)=at
t=a(vfvi)
t=Δav

Slide 10 - Slide

Speed-time graphs

Slide 11 - Slide

Speed-time graphs
The area under the curve = De travelled distance. 

Slide 12 - Slide

Speed-time graphs
area A=12   Area B=30  Area C= 9
              
         d= 51 m

Slide 13 - Slide

The area under the graph

Slide 14 - Slide

The area under the graph
Area under graph = 64
          d=64 m

Slide 15 - Slide

Slide 16 - Slide

Terminal velocity

Slide 17 - Slide

Slide 18 - Slide

Constant speed. travelling the same distance each second. Constant slope
(x,t)-diagram
(v,t)-diagram
Constant speed. travelling the same distance each second. Constant slope

Slide 19 - Slide

Deccelerating (slowing down) travelling lesser distance each second. Graph is becoming less steep=. Slope is decreasing
(x,t)-diagram
(v,t)-diagram

Slide 20 - Slide

Accelerating ( speeding up). Travelling more distance each second. Graph is becoming more steep = slope is increasing.
(x,t)-diagram
(v,t)-diagram

Slide 21 - Slide

Exercise
Mike goes for a run. At the start of his run he runs at a speed of 7 m/s. 25 seconds later he runs at a speed of 4 m/s. Calculate his acceleration. Answer  

Slide 22 - Slide

  • Elevators in in the Yokohama tower in Japan are among the fastest in the world. They accelerate upwards at a rate of 3.125 m/s2 for 4 seconds. Starting from rest, what is their final speed? Vf= 12,5 m/s

  • A cyclists cycles at a speed of 5/ms. He accelerates at a rate of 1.26 m/s2 for 6.3 seconds. Calculate his final speed. vf= 12,94 m/s





Slide 23 - Slide

Learning goals 4.4
  • Calculate acceleration
  • Define the unit for acceleration
  • Rearrange the formula for acceleration
  • Read a speed-time graph correctly
  • Explain terminal velocity

Slide 24 - Slide