"Related Corollaries of Uniformly Variable Speed ​​Linear Motion" Research on Uniformly Variable Speed ​​Linear Motion PPT

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"Related Corollaries of Uniformly Variable Speed ​​Linear Motion" Research on Uniformly Variable Speed ​​Linear Motion PPT

The first part of the content: [Learning literacy·clear goals]

Physical concepts:

1. Master the average speed formula of uniform linear motion and be able to perform relevant calculations.

2 will derive the proportional formula for uniformly variable linear motion with an initial velocity of zero.

3. Be able to derive the displacement difference formula Δx = aT2 and use it to answer related questions.

PPT related inferences about linear motion with uniform speed, part 2: cooperative exploration to overcome difficult problems

The average speed formula of uniformly variable linear motion

Three average speed formulas and applicable conditions

1.v=st, applicable to all movements.

2.v＝v0＋v2, suitable for uniform speed linear motion.

3.v=vt2, that is, the average speed within a period of time is equal to the instantaneous speed at the middle moment during this period, which is suitable for uniform linear motion.

[Example 1] The object first makes a uniformly accelerated linear motion with an initial velocity of zero, the acceleration a1 = 2 m/s2, accelerates for a period of time t1, and then continues to make a uniformly decelerated linear motion until the speed reduces to zero. It is known that the entire motion process takes Time t=20 s, the total displacement is 300 m, then the maximum speed of the object is ()

A. 15 m/s　B． 30 m/s

C. 7.5 m/s D． Unable to solve

For training

1. The average speed of a particle moving at a uniform speed along a straight line in the first 0.5 s is 2.45 m/s greater than its average speed in the first 1.5 s. Taking the direction of movement of the particle at the initial moment as the positive direction, then the particle's The acceleration is ()

A. 2.45 m/s2 B. -2.45 m/s2

C. 4.90 m/s2 D. -4.90m/s2

2. (Multiple choices) A ​​particle starts from rest and makes a uniformly accelerated linear motion. The displacement in the first 3 s is 2 m, then ()

A. The average speed during these 3 s is 1.2 m/s

B． The instantaneous speed at the end of the 3rd s is 2.2 m/s

C. The acceleration of the particle is 0.6 m/s2

D． The acceleration of the particle is 0.8 m/s2

The proportional formula for uniformly accelerated linear motion with an initial velocity of zero

1. Uniformly accelerated linear motion with an initial velocity of 0, divided equally by time (assuming equal time intervals are T), then:

(1) The ratio of the instantaneous speeds at the end of T, the end of 2T, the end of 3T, ..., and the end of nT

v1:v2:v3:…:vn=1:2:3:…:n.

(2) Ratio of displacement within T, within 2T, within 3T, ..., nT

s1:s2:s3:…:sn=12:22:32:…:n2.

(3) The ratio of the displacements within the first T, the second T, the third T,..., the nth T

s1′:s2′:s3′:…:sn′=1:3:5:…:(2n-1).

2. Proportional formula divided equally by displacement (assuming equal displacement is s)

(1) The instantaneous velocity ratio v1:v2:v3:...:vn=1:2:3:...:n when passing through the displacements of the first s, the first 2s, the first 3s,..., the first ns.

(2) The ratio of the time taken to pass through the displacement of the first s, the first 2s, the first 3s,..., the first ns t1:t2:t3:...:tn=1:2:3:...:n.

(3) The ratio of time taken to pass the same continuous displacement

t1′:t2′:t3′:…:tn′=1:(2-1):(3-2):…:(n-n-1)．

PPT related inferences about linear motion with uniform speed, the third part: reaching the standard and solidifying the double base in class

1. For an object that starts from rest and moves in a straight line with uniform acceleration, the ratio of the average speed in the 1st s, the 2nd s, and the 3rd s is ()

A. 1:3:5 B． 1:4:9

C. 1:2:3 D. 1:2:3

2. (Multiple choices) The object starts from rest and moves in a straight line with uniform acceleration. The displacement in the 3 s is 3 m, then ()

A. The average speed in the 3rd s is 3 m/s

B． The acceleration of the object is 1.2 m/s2

C. The displacement in the first 3 s is 6 m

D． The speed at the end of 3 s is 3.6 m/s

3. (Multiple choices) A ​​particle moves in a straight line with uniform acceleration. The displacement in the 3rd s is 2 m, and the displacement in the 4th s is 2.5 m. Then the following statement is correct ()

A. The displacement in the second s is 2.5 m

B． The acceleration of the particle is 0.125 m/s2

C. The instantaneous speed at the end of the 3rd s is 2.25 m/s

D． The speed at the end of the 4th s is 2.75 m/s

4. A particle moves in a straight line at a uniform speed, with an initial velocity v0 = 2 m/s, and a displacement of 20 m in 4 s. Find:

(1) The average velocity of the particle within 4 s;

(2) The velocity of the particle at the end of 4 s;

(3) The velocity of the particle at the end of 2 s.

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For more information about the PPT courseware "Research on Uniform Speed ​​Linear Motion and Related Inferences on Uniform Speed ​​Linear Motion", please click the Research on Uniform Speed ​​Linear Motion ppt Related Inferences on Uniform Speed ​​Linear Motion ppt tag.

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Update Time: 2024-11-26

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