Lesson 10 — 4.4 acceleration & speed time graphs

This lesson

rearranging the formula for acceleration
speed-time graphs

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Natuurkunde / ScheikundeMiddelbare schoolhavo, vwoLeerjaar 2

This lesson contains 20 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

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 4 - Slide

Recap

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

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a c c e l e r a t i o n = \frac{​ f i n a l s p e e d - s t a r t i n g s p e e d ​ ​}{​ t i m e ​}

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a = \frac{​ v ^{​ f ​ ​} - v ^{​ i ​ ​} ​ ​}{​ t ​}

a c c e l e r a t i o n = \frac{​ f i n a l s p e e d - s t a r t i n g s p e e d ​ ​}{​ t i m e ​}

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a = \frac{​ v ^{​ f ​ ​} - v ^{​ i ​ ​} ​ ​}{​ t ​}

a c c e l e r a t i o n = \frac{​ f i n a l s p e e d - s t a r t i n g s p e e d ​ ​}{​ t i m e ​}

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

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Unit of Acceleration

speed/time
(m/s)/s

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Unit of Acceleration

speed/time
(m/s)/s

m/s

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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.

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Rearranging the formula for speed

a = \frac{​ v ^{​ f ​ ​} - v ^{​ i ​ ​} ​ ​}{​ t ​}

3 = \frac{​ 6 ​ ​}{​ 2 ​}

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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?

A cyclists cycles at a speed of 5/ms. He accelerates at a rate of 1.26 m/s²for 6.3 seconds. Calculate his final speed.

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Speed-time graphs

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Speed-time graphs

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Speed-time graphs

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The area under the graph

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Terminal velocity

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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 20 - Slide

Lesson 10 — 4.4 acceleration & speed time graphs

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