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Igoryamba
2 years ago
14

A shot putter releases the shot some distance above the level ground with a velocity of 12. 0 m/s, 51. 0∘ above the horizontal.

The shot hits the ground 2. 08 s later. You can ignore air resistance.
SAT
1 answer:
KIM [24]2 years ago
3 0

A) The x­-component of the shot's acceleration while in flight is; aₓ = 0 m/s²

B) The y-component of the shot's acceleration while in flight is;

a_y = -9.8 m/s²

C) The x­-component of the shot's velocity while in flight is; vₓ = 7.55 m/s

D) The y-component of the shot's velocity while in flight is;

a_y = 9.32 m/s

<h3>Projectile motion</h3>

A) The x-component of the shot's acceleration while in flight?

aₓ = 0 m/s²

B) Since the object is thrown vertically, it means that it is against gravity and as such acceleration due to gravity will be negative,

Thus, the y-component of the shot's acceleration while in flight is;

a_y = -9.8 m/s²

C) The x-component of the shot's velocity at the beginning of its trajectory is; v_x = v cos θ

v_x = 12 cos 51

v_x = 7.55 m/s

D) The y-component of the shot's velocity at the beginning of its trajectory is; v_y = v sin θ

v_y = 12 sin 51

v_y = 9.32 m/s

Read more about Projectile Motion at; brainly.com/question/11049671

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Answer:

  • No, the points are evenly distributed about the x-axis.

Explanation:

<u>1. Write the table with the data:</u>

  x      given     predicted       residual

  1       - 3.5         - 1.1

  2      - 2.9           2

  3       - 1.1            5.1

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  5        3.4           1.3

<u>2. Complete the column of residuals</u>

The residual is the observed (given) value - the predicted value.

  • residual = given - predicted.

Thus, the complete table, with the residual values are:

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  1       - 3.5         - 1.1                 - 2.4

  2      - 2.9           2                  - 4.9

  3       - 1.1            5.1                - 6.2

  4        2.2           8.2               - 6.0

  5        3.4           1.3                   2.1

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  x      residual

  1       - 2.4

  2      - 4.9

  3       - 6.2

  4       - 6.0

  5        2.1

See the plot attached.

<em>Does the residual plot show that the line of best fit is appropriate for the data?</em>

Ideally, a residual plot for a line of best fit that is appropiate for the data must not show any pattern; the points should be randomly distributed about the x-axis.

But the points of the plot are not randomly distributed about the x-axis:  there are 4 points below the x-axis and 1 point over the x-axis: there are more negative residuals than positive residuals.  This is a pattern. Also, you could say that they show a curve pattern, which drives to the same conclusion: the residual plot shows that the line of best fit is not appropiate for the data.

Thus, the conclusion should be: No, the points have a pattern.

  • 1. "<em>Yes, the points have no pattern</em>": false, because as shown, the points do have a pattern, which makes the residual plots does not show that the line of best fit is appropiate for the data.

  • 2. "<em>No, the points are evenly distributed about the x-axis</em>": true. As already said the points have a pattern. It is a curved pattern, and this <em>shows the line of best fit is not appropiate for the data.</em>

  • 3. "<em>No, the points are in a linear pattern</em>": false. The points are not in a linear pattern.

  • 4. "<em>Yes, the points are in a curved pattern</em>": false. Because the points are in a curved pattern, the residual plot shows that the line of best fit is not appropiate for the data.

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