Work 3 rectilinear uniformly accelerated movement option 1. Independent work "Rectilinear uniformly accelerated movement" (grade 9)

option 1

    The train approaches the station at a speed of 21.6 km / h and stops one minute after the start of braking. With what acceleration did the train move?

    During emergency braking, the car moving at a speed of 72 km / h stopped after 5 s. Find the braking distance.

Rectilinear uniformly accelerated motion option 2

    The car, moving at a speed of 30 m / s, began to brake. What will its speed be equal to in 1 minute if the acceleration during deceleration is 0.3 m / s2?

    The bus, leaving the stop, moves with an acceleration of 0.2 m / s2. At what distance from the beginning of movement will its speed become equal to 10 m / s?

    Fill in the table using the body speed graph.

    x = 20 + 5 t + t 2 .

Rectilinear uniformly accelerated motion option 3

    The body moves rectilinearly equidistantly with an initial speed of 10 m / s and an acceleration of 2 m / s 2 ... Determine the movement of the body 5 seconds after the start of the movement.

    To get off the ground, the plane must pick up a speed of 180 m / s. At what distance from the launch site on the runway the aircraft reaches this speed value if its acceleration is constant and equal to 2.5 m / s 2 ?

    Fill in the table using the body speed graph.

Rectilinear uniformly accelerated motion option 4

    The passenger train decelerates with an acceleration of 0.2 m / s 2 ... At what distance from the place where the brake is applied, the train speed will become 5 m / s if the speed was 54 km / h before braking?

    A projectile flying at a speed of 1000 m / s penetrates the wall of the dugout in 0.001 s, and after that its speed turns out to be equal to 200 m / s. Considering the movement of the projectile in the thickness of the wall to be uniformly accelerated, find its thickness.

    Fill in the table using the body speed graph.

Rectilinear uniformly accelerated motion option 5

    After the start, the racing car reached a speed of 360 km / h in 25 seconds. How far has he traveled during this time?

    What is the initial speed of the train will go the way 1260 m for 60 s, decelerating with an acceleration of 1.5 m / s 2 ?

    Fill in the table using the body speed graph.

    The equation of body motion is given:x = 10t + 0.4 t 2 .

Fill in the table and plot the body speed.

Rectilinear uniformly accelerated motion option 6

    The cyclist moves downhill with an acceleration of 0.1 m / s 2 ... What speed will be in 30s if its initial speed is 5 m / s?

    The electric train leaving the station moved with an acceleration of 0.8 m / s for 0.5 minutes 2 ... Determine the path he traveled during this time and the speed at the end of this path.

    Fill in the table using the body speed graph.

    The equation of body motion is given:x = 2 + 10t - t 2 .

Fill in the table and plot the body speed.

Rectilinear uniformly accelerated motion option 7

    The motorcyclist moves with an acceleration of 0.1 m / s 2 ... What speed will be in 1 minute if its initial speed is 2 m / s?

    Car moving off in 10with, picking up speed 72km / h ... What is the movement of the car during this time, if its movement was rectilinear?

    Fill in the table using the body speed graph.

    The equation of body motion is given:x = 5 -0.1 t 2 .

Fill in the table and plot the body speed.

Rectilinear uniformly accelerated motion option 8

    How long does it take for the bus to stop if its initial speed is 20 m / s and acceleration is 1.25 m / s 2 ?

    The ball rolls along a chute 1.25 m long with an acceleration of 1.6 m / s 2 ... What is the speed of the ball at the end of the complaint?

    Fill in the table using the body speed graph.

    The equation of body motion is given:x = 5 + 2 t - 0.1 t 2 .

Fill in the table and plot the body speed.

Rectilinear uniformly accelerated motion option 9

    When approaching the station, the train, having an initial speed of 90 km / h, stopped in 50 s. Determine its acceleration during braking.

    When approaching a traffic light, the car reduced its speed from 43.2 to 28.8 km / h in 8 seconds. Determine the acceleration and braking distance of the vehicle.

    Fill in the table using the body speed graph.

    The equation of body motion is given:x = -4 + t - 2t 2 .

Fill in the table and plot the body speed.

Rectilinear uniformly accelerated motion option 10

    How many seconds after leaving the station, the speed of the subway train will reach 72 km / h, if the acceleration during acceleration is 1 m / s 2 ?

    A bullet flying at a speed of 400 m / s hit a wooden board and went 20 cm deep into it. With what acceleration did the bullet move inside the board?

    Fill in the table using the body speed graph.

Fill in the table and plot the body speed.

Rectilinear uniformly accelerated motion option 12

    What speed will the body have 20 s after the start of movement if it moves with an acceleration of 0.3 m / s 2 ?

    The speed of the aircraft in 10 s increased from 180 to 360 km / h. Determine the acceleration of the aircraft and the distance traveled by it during this time.

    Fill in the table using the body speed graph. Rectilinear uniformly accelerated motion option 1 3

    Rectilinear uniformly accelerated motion option 1 4

    Rectilinear uniformly accelerated motion option 1 5

    Rectilinear uniformly accelerated motion option 1 6

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Sections: Physics , Competition "Presentation for the lesson"

Class: 9

Lesson presentation



















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Attention! Slide previews are for informational purposes only and may not represent all the presentation options. If you are interested in this work, please download the full version.

The purpose of the lesson:

  • create conditions for the formation of cognitive interest, activity of students;
  • solving problems on the topic "uniformly accelerated rectilinear motion"
  • promote the development of convergent thinking;
  • contribute to the aesthetic education of students;
  • the formation of communication communication;

Equipment: interactive complex SMART Board Notebook.

Lesson teaching method: in the form of a conversation.

Lesson plan:

  1. Class organization
  2. Frontal poll
  3. Learning new material
  4. Anchoring
  5. Pinning homework

The purpose of the lesson- learn to simulate the condition of the tasks. Master the graphical way of solving problems. Learn to “read” graphs a x = a x (t), v x = v x (t), S x = S x (t), x = x (t).

1 slide - title

2 slide - epigraph

“We must learn to use our knowledge in a way that will help us achieve our goals.”- N.Enckelmann

3 slide - the purpose of the lesson

4 slide - question: What is the main feature of rectilinear uniformly accelerated motion?

answer: a = const

5 slide - Name the basic equation of rectilinear uniformly accelerated motion.

a x> 0-uniformly accelerated

a x<0-равнозамедленное

S = v 0 t + at 2/2

X = X 0 + v 0 t + at 2/2

6 slide - Algorithm for solving graphic problems.

1. Look carefully at the coordinate axes (ordinate, abscissa). Determine the graph of which function is given:

a = a (t), v = v (t), S = S (t) or x = x (t).

2. Determine the type of movement for this schedule.

3. Briefly write down the condition of the problem, expressing the values ​​in the SI system.

4. Write down the requirements for this problem.

5. Write down all the "keys" (formulas) required for the solution.

6. Substitute numerical values. Write down the equations

a x = a x (t), v x = v x (t), S x = S x (t) or x = x (t) as required by this problem.

7 slide - Name the graphs of the speed of rectilinear uniformly accelerated motion.

8 slide - Name the graphs of the coordinates of rectilinear uniformly accelerated motion.

9 slide - According to the schedule, describe the movement of this body. Write down the equation ax = ax (t), v x = v x (t), if v 0x = 4 m / s. Build a graph v x = v x (t).

10 slide - task

Given:

a x = a x (t)

Solution:

The movement is straight-line equidistant, because

v x = v x (t) a x = -2 m / s 2

v x = v 0x + a x t

11 slide - Table for v x = 4-2t

t, s 0 1 2
v x, m / s 4 2 0

12 slide - According to the graph, determine the path traveled by the body

13 slide - The equation is given: v x = 10-2t

Describe the nature of the body's motion, find the projection v 0x, the magnitude and direction of the velocity vector, find the projection ax, write ax = ax (t), build a graph ax = ax (t), find vx in t = 2 c, write S x = S x (t)

14 slide - Describe the movement of the body according to the schedule. Write down the equation a x = a x (t), v x = v x (t), S x = S x (t) and x = x (t) at x 0 = 3 m

15 slide -

Given:

a x = a x (t) -?

Solution:

A graph of v x = v x (t) of uniformly accelerated motion is given.

v x = v 0x + a x t

a x = (U x -U 0x) / t = (4-2) / 1 = 2 (m / s 2)

a x = 2 m / s 2

v a x = 2 m / s 2

a x = 2 m / s 2

16 slide - The body moves in a straight line uniformly accelerated with a x = 3 m / s 2 and U 0x = 3 m / s. Write down the equation v x = v x (t) and plot this function.

17 slide - task

Given:

a x = 3 m / s 2

v 0x = 3 m / s 2

Solution:

Equation U x = U x (t) of rectilinear uniformly accelerated motion

U x = U 0x + a x t

18 slide - Table for the equation U x = 3 + 3t

t, s 0 1 2
v x, m / s 3 6 9

Physics problems are easy!

Do not forget that problems must always be solved in the SI system!

And now to the tasks!

Elementary tasks from the course of school physics in kinematics.

Solving problems for rectilinear uniformly accelerated motion. When solving a problem, be sure to draw a drawing in which we show all the vectors referred to in the problem. In the problem statement, unless otherwise stated, the absolute values ​​are given. The answer must also contain the modulus of the found value.

Problem 1

The car, moving at a speed of 30 m / s, began to brake. What will be its speed in 1 minute if the acceleration during braking is 0.3 m / s 2?

Note! The projection of the acceleration vector onto the t-axis is negative.



Task 2

The sleds begin to move from the mountain with an acceleration of 2 m / s 2. How far will they travel in 2 seconds?



Do not forget to switch from the projection to the magnitude of the acceleration vector in your answer!

Problem 3

What is the acceleration of a cyclist if his speed has changed from 7 to 2 m / s in 5 seconds?

From the condition of the problem it is seen that in the process of movement the speed of the body decreases. Based on this, we determine the direction of the acceleration vector in the drawing. As a result of the calculation, a negative value of the acceleration vector should be obtained.

Problem 4

The sleds begin to move down the mountain from a state of rest with an acceleration of 0.1 m / s 2. What speed will they have 5 seconds after they start moving?

Problem 5

The train, moving with an acceleration of 0.4 m / s 2, stopped after 20 seconds of braking. What is the braking distance if the initial speed of the train is 20 m / s?

Attention! In the problem, the train slows down, do not forget about the minus when substituting the numerical value of the projection of the acceleration vector.



Problem 6

The bus, leaving the stop, moves with an acceleration of 0.2 m / s 2. At what distance from the beginning of the movement will its speed become equal to 10 m / s?


The problem can be solved in 2 steps.
This solution is similar to solving a system of two equations in two unknowns. As in algebra: two equations - formulas for V x and S x, two unknowns - t and S x.

Problem 7

What speed will the boat develop, passing 200 meters from rest with an acceleration of 2 m / s 2?

Do not forget that not always all data in a problem is given by numbers!
Here you should pay attention to the words "from rest" - this corresponds to the initial speed equal to 0.

When extracting a square root: the time can only be greater than 0!

Problem 8

During emergency braking, the motorcycle, moving at a speed of 15 m / s, remained after 5 seconds. Find the braking distance.

Continuation see

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