Lesson 8 — acceleration

4.4 Acceleration

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4.4 Acceleration

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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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Recap

What is acceleration?
Examples of acceleration?
How do you calculate 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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The unit of Acceleration

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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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Acceleration

Exercise

A dragon fly is flying at a speed of 15,6 m/s. A strong wind pulls up bring its speed down to 12,9 m/s 5 seconds later. Calculate its acceleration.

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

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Discussing the homework

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3. A spaceship is travelling at 20,000.0 m/s. After 5.0 seconds, the rocket thrusters are turned on. At the 55.0 second mark, the ship has a velocity of 24,000.0 m/s. What is the acceleration of the rocket?

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4. The gravitational force on Mars is much lower than the gravitational force on Earth (acceleration due to gravity on Earth accelerates falling objects at 9.8 m/s2). If a dropped hammer’s speed increases from 0.0 m/s to 15.0 m/s in 4.04 s, what is the acceleration due to gravity on Mars?

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Rearranging the formula for acceleration

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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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Exercise 1) 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?

Exercise 2) 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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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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