Lesson 8 — Acceleration

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Natuurkunde / ScheikundeMiddelbare schoolhavo, vwoLeerjaar 2

This lesson contains 17 slides, with text slides.

Items in this lesson

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Rearranging the formula for acceleration

Speed time graphs

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Learning goals

Rearrange the formula for acceleration
Read a speed-time graph correctly
Explain terminal velocity

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

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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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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Rearranging the formula

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

3 = \frac{​ 6 ​ ​}{​ 2 ​}

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Rearranging the formula

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

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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 starts a sprint. he accelerates at a rate of 0.325 m/s2 for 12 seconds. He ends up reaching a speed of 9.7 m/s. Calculate his starting speed.

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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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Speed-time graphs

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What does the area under a graph tell you?

Area = length x width

Area under speed time graph = speed x time

speed x time = distance traveled

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A car accelerates at a rate of 13m/s2 for 6 seconds, it reaches a speed of 128 km/h. Calculate its initial speed.

A rocket launching accelerates from rest a rate of 1.5 km/s2 for 8 seconds. Calculate the speed it reaches.

A cyclist in the decelerates from 22 m/s to a speed of 37 m/s at a rate of 7,5 m/s2. Calculate the time this took.

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Worksheet acceleration

Yellow block exercises 4.4

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