Before the test get acquainted with time management during the test:
Eliminating wrong answers.
Substituting data - a reversed method of finding solution.
Estimating data.
Finding the solution and indicating the correct answer.
Interesting cases of Piotr Ciekawski.
Piotrek Ciekawski is already a secondary school student; he is passionate about physics and sometimes he remembers the old good times when he was a junior‑secondary school student and he had to solve interesting tasks in physics lessons.
Imagine you are Piotrek and try to solve his tasks.
Read the text below and solve tasks 1 - 3.
The distance between Łódź and Warsaw is 120 km. A passenger car leaves Lodz at 8 am, moving at an average speed of 40 . At 9 am, a motorcyclist sets off from Warsaw to Łódź, moving at an average speed of 60 .
Assume that during their journey, both vehicles move along a straight line connecting both cities.
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Exercise 1
Wersja alternatywna ćwiczenia: Two vehicles will meet at Możliwe odpowiedzi: 1. 09:48, 2. 09:08, 3. 09:28, 4. 09:58
Wersja alternatywna ćwiczenia: Two vehicles will meet at Możliwe odpowiedzi: 1. 09:48, 2. 09:08, 3. 09:28, 4. 09:58
Two vehicles will meet at
09:48
09:08
09:28
09:58
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Exercise 2
The motorcyclist will meet the car after driving Możliwe odpowiedzi: 1. 48 kilometers, 2. 18 kilometers, 3. 28 kilometers, 4. 60 kilometers.
The motorcyclist will meet the car after driving Możliwe odpowiedzi: 1. 48 kilometers, 2. 18 kilometers, 3. 28 kilometers, 4. 60 kilometers.
The motorcyclist will meet the car after driving
48 km
18 km
28 km
60 km
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Exercise 3
When the car is exactly halfway between Łódź and Warsaw, the motorcycle is at a distance of Możliwe odpowiedzi: 1. 30 kilometers from this car, 2. 0 kilometers from this car, 3. 48 kilometers from this car, 4. 60 kilometers from this car.
When the car is exactly halfway between Łódź and Warsaw, the motorcycle is at a distance of Możliwe odpowiedzi: 1. 30 kilometers from this car, 2. 0 kilometers from this car, 3. 48 kilometers from this car, 4. 60 kilometers from this car.
When the car is exactly halfway between Łódź and Warsaw, the motorcycle is at a distance of
30 km from this car
0 km from this car
48 km from this car
60 km from this car
Read the text below and solve tasks 4 - 6.
Piotrek is keen on riding a bike. One day, while riding his bicycle at a speed of 8 , he saw his classmate Kuba 300 m ahead of him, who was also cycling, but at a speed of 18 . Neither of the boys changes the speed of riding a bicycle.
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Exercise 4
Piotrek is approaching Kuba with the speed of Możliwe odpowiedzi: 1. 3 meters per second, 2. 5 meters per second, 3. 3 kilometers per second, 4. 5 kilometers per second.
Piotrek is approaching Kuba with the speed of Możliwe odpowiedzi: 1. 3 meters per second, 2. 5 meters per second, 3. 3 kilometers per second, 4. 5 kilometers per second.
Piotrek is approaching Kuba with the speed of
3
5
3
5
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Exercise 5
Piotrek will catch up with Kuba after riding the distance of Możliwe odpowiedzi: 1. 800 meters, 2. 300 meters, 3. 500 meters, 4. 1100 meters.
Piotrek will catch up with Kuba after riding the distance of Możliwe odpowiedzi: 1. 800 meters, 2. 300 meters, 3. 500 meters, 4. 1100 meters.
Piotrek will catch up with Kuba after riding the distance of
800 m
300 m
500 m
1100 m
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Exercise 6
Piotrek passed thoughtfully Kuba, who for 10 seconds did not notice this fact. After which Kuba began to call to Piotr, who was then (choose the answer below) from him Możliwe odpowiedzi: 1. 30 meters, 2. 10 meters, 3. 50 meters, 4. 300 meters.
Piotrek passed thoughtfully Kuba, who for 10 seconds did not notice this fact. After which Kuba began to call to Piotr, who was then (choose the answer below) from him Możliwe odpowiedzi: 1. 30 meters, 2. 10 meters, 3. 50 meters, 4. 300 meters.
Piotrek passed thoughtfully Kuba, who for 10 seconds did not notice this fact. After which Kuba began to call to Piotr, who was then (choose the answer below) from him
30 m
10 m
50 m
300 m
Read the text below and solve tasks 7 - 9.
Piotrek's house is located on the hill. During his ride downhill at a uniformly accelerated motion, on the road of 200 m Piotrek accelerates to the speed of 36 .
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Exercise 7
The acceleration of Piotrek is Możliwe odpowiedzi: 1. 0,25 meters per second square, 2. 0,5 meters per second square, 3. 1,25 meters per second square, 4. 2,25 meters per second square.
The acceleration of Piotrek is Możliwe odpowiedzi: 1. 0,25 meters per second square, 2. 0,5 meters per second square, 3. 1,25 meters per second square, 4. 2,25 meters per second square.
The acceleration of Piotrek is
0,25
0,5
1,25
2,25
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Exercise 8
Piotrek accelerates on his bike within Możliwe odpowiedzi: 1. 40 seconds, 2. 10 seconds, 3. 20 seconds, 4. 80 seconds.
Piotrek accelerates on his bike within Możliwe odpowiedzi: 1. 40 seconds, 2. 10 seconds, 3. 20 seconds, 4. 80 seconds.
Piotrek accelerates on his bike within
40 s
10 s
20 s
80 s
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Exercise 9
Piotrek's average speed during the downhill ride is Możliwe odpowiedzi: 1. 5 meters per second, 2. 0 meters per second, 3. 10 meters per second, 4. 36 meters per second.
Piotrek's average speed during the downhill ride is Możliwe odpowiedzi: 1. 5 meters per second, 2. 0 meters per second, 3. 10 meters per second, 4. 36 meters per second.
Piotrek's average speed during the downhill ride is
5
0
10
36
Read the text below and solve tasks 10 - 12.
Riding his bike at a speed of 36 , Piotrek notices a large hole in the road and he starts braking. Moving in a uniformly delayed motion he reduces his speed by 4 within 2 seconds.
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Exercise 10
Piotrek therefore brakes with an absolute acceleration of Możliwe odpowiedzi: 1. 2 meters per second square, 2. 1 meter per second square, 3. 4 meters per second square, 4. 36 meters per second square.
Piotrek therefore brakes with an absolute acceleration of Możliwe odpowiedzi: 1. 2 meters per second square, 2. 1 meter per second square, 3. 4 meters per second square, 4. 36 meters per second square.
Piotrek therefore brakes with an absolute acceleration of
2
1
4
36
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Exercise 11
Piotrek will stop within Możliwe odpowiedzi: 1. 5 seconds, 2. 1 second, 3. 2 seconds, 4. 10 seconds.
Piotrek will stop within Możliwe odpowiedzi: 1. 5 seconds, 2. 1 second, 3. 2 seconds, 4. 10 seconds.
Piotrek will stop within
5 s
1 s
2 s
10 s
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Exercise 12
Piotrek will not fall into the hole if it is located at a minimum distance of (choose the answer below) from him, when he started to brake Możliwe odpowiedzi: 1. 25 meters, 2. 50 meters, 3. 75 meters, 4. 100 meters.
Piotrek will not fall into the hole if it is located at a minimum distance of (choose the answer below) from him, when he started to brake Możliwe odpowiedzi: 1. 25 meters, 2. 50 meters, 3. 75 meters, 4. 100 meters.
Piotrek will not fall into the hole if it is located at a minimum distance of (choose the answer below) from him, when he started to brake
25 m
50 m
75 m
100 m
Read the text below and solve tasks 13 - 15.
Piotrek is fond of playing football in his spare time. Recently, he has been fascinated with vertical kick‑ups. To simplify the task, let's assume that the initial position of the ball is 1 m above the ground, and at the time of the kick the speed of the ball is directed vertically upwards. Assume that after the kick, the ball moves up with an acceleration of 10 .
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Exercise 13
To reach a maximum height of 6 meters, the initial speed of the ball must have a value of Możliwe odpowiedzi: 1. 10 meters per second, 2. 1 meter per second, 3. 5 meters per second, 4. 6 meters per second.
To reach a maximum height of 6 meters, the initial speed of the ball must have a value of Możliwe odpowiedzi: 1. 10 meters per second, 2. 1 meter per second, 3. 5 meters per second, 4. 6 meters per second.
To reach a maximum height of 6 m, the initial speed of the ball must have a value of
10
1
5
6
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Exercise 14
After a very strong kick the ball flew in the air to the height of 20 meters. From this height the ball will fall down within Możliwe odpowiedzi: 1. 2 seconds, 2. 1 second, 3. 3 seconds, 4. 4 seconds.
After a very strong kick the ball flew in the air to the height of 20 meters. From this height the ball will fall down within Możliwe odpowiedzi: 1. 2 seconds, 2. 1 second, 3. 3 seconds, 4. 4 seconds.
After a very strong kick the ball flew in the air to the height of 20 m. From this height the ball will fall down within
2 s
1 s
3 s
4 s
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Exercise 15
The speed at which the ball hit the ground had a value of Możliwe odpowiedzi: 1. 20 meters per second, 2. 5 meters per second, 3. 10 meters per second, 4. 25 meters per second.
The speed at which the ball hit the ground had a value of Możliwe odpowiedzi: 1. 20 meters per second, 2. 5 meters per second, 3. 10 meters per second, 4. 25 meters per second.
The speed at which the ball hit the ground had a value of
20
5
10
25
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Wersja alternatywna: Analyze your correct and incorrect answers to the tasks. Propozycje It was easy for me ..., It was difficult for me ..., I still have to repeat ...
Wersja alternatywna: Analyze your correct and incorrect answers to the tasks. Propozycje It was easy for me ..., It was difficult for me ..., I still have to repeat ...
Analyze your correct and incorrect answers to the tasks.
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Exercise 16
Wybierz jedno nowe słowo poznane podczas dzisiejszej lekcji i ułóż z nim zdanie.
Wybierz jedno nowe słowo poznane podczas dzisiejszej lekcji i ułóż z nim zdanie.
You did your job well, so now have fun!
Exercises
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Exercise 17
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. przyspieszenie - acceleration, 2. prędkość średnia - average speed, 3. odległość - distance, 4. położenie początkowe - initial position, 5. ruch jednostajnie przyspieszony - uniformly delayed motion, 6. ruch jednostajnie opóźniony - uniformly accelerated motion
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. przyspieszenie - acceleration, 2. prędkość średnia - average speed, 3. odległość - distance, 4. położenie początkowe - initial position, 5. ruch jednostajnie przyspieszony - uniformly delayed motion, 6. ruch jednostajnie opóźniony - uniformly accelerated motion
Indicate which pairs of expressions or words are translated correctly.
przyspieszenie - acceleration
prędkość średnia - average speed
odległość - distance
położenie początkowe - initial position
ruch jednostajnie przyspieszony - uniformly delayed motion
ruch jednostajnie opóźniony - uniformly accelerated motion
zadanie
Source: GroMar, licencja: CC BY 3.0.
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Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Match Polish terms with their English equivalents.