Lesson 9 — acceleration

4.4 Acceleration

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4.4 Acceleration

Slide 1 - Diapositive

This lesson

Recap acceleration
Discussing the homework
Rearranging the formula
Speed-time graphs

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Learning goals

Name the formula for acceleration and apply it in calculations.
Be able to rearrange the formula for acceleration.
Define the unit of acceleration.
Be able to read speed-time graphs

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Acceleration

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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 ​}

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

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

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

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

t =

v^{​ f ​ ​} - v^{​ i ​ ​} =

Slide 6 - Diapositive

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

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

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

v^{​ f ​ ​} - v^{​ i ​ ​} =

Slide 7 - Diapositive

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

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

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

v^{​ f ​ ​} - v^{​ i ​ ​} = a \cdot t

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The unit of Acceleration

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Unit of Acceleration

speed/time
(m/s)/s

m/s

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Practice exercise 1

A cyclists accelerates at a rate of 1.26 m/s2 for 6.3 seconds. Calculate his change in speed

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Practice exercise 2

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.

A) Calculate their change in speed during this acceleration.

B) If They start from rest what is their final speed in this acceleration

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Speed-time graphs

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Speed-time graphs

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What type of movement is shown at each part of the graph?

A: Steady acceleration
B: Steady speed
C Steady acceleration
D: increasing acceleration
E Decreasing acceleration

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Homework

Worksheet acceleration Exercise 5, 6, 7, 8

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