Question

Which of the following correctly describes the steps to find the acceleration of the given non-linear...

Which of the following correctly describes the steps to find the acceleration of the given non-linear motion data in Part 2(b) of the lab, using Method 2?

a.

Reading the equation of the trendline for the graph:
y = x2 (the other two numbers are very small and can be ignored)
Here, the coefficient of x2 equals (1/2) a
Therefore,
a = (2)(coefficient of x2)
Substituting values we get:
a = (2)(0.013)
a = 0.026 m/s2

b.

Reading the equation of the trendline for the graph:
y = x2 (the other two numbers are very small and can be ignored)
Here, the coefficient of x2 equals (1/2) a
Therefore,
a = (2)(coefficient of x2)
Substituting values we get:
a = (2)(1)
a = 2 m/s2

c.

Reading the equation of the trendline for the graph:
y = x2 (the other two numbers are very small and can be ignored)
Here, the coefficient of x2 equals (1/2) a
Therefore,
a = (2)(coefficient of x2)
Substituting values we get:
a = (2)(0.0536)
a = 0.11 m/s2

d.

Reading the equation of the trendline for the graph:
y = x2 (the other two numbers are very small and can be ignored)
Here, the coefficient of x2 equals (1/2) a
Therefore,
a = (2)(coefficient of x2)
Substituting values we get:
a = (2)(1.6328)
a = 3.3 m/s2

QUESTION 6

  1. Which of the following correctly describes the steps to calculate the acceleration of the given non-linear motion data in Part 2(b) of the lab, using Method 1?

    a.

    Use the kinematic equation for uniformly accelerated motion:
    x = ½ at2
    Rearrange this to solve for acceleration (a):
    a = ½ x/t2
    Substitute values form the data table (any set of values can be used):
    a = ½ (1)/12
    a = 0.5 m/s2

    b.

    Use the kinematic equation for uniformly accelerated motion:
    x = ½ at2
    Rearrange this to solve for acceleration (a):
    a = sq. root (2xt2)
    Substitute values form the data table (any set of values can be used):
    a = sq.root (2)(1)12
    a = 1.41m/s2

    c.

    Use the kinematic equation for uniformly accelerated motion:
    x = ½ at2
    Rearrange this to solve for acceleration (a):
    a = 2x/t2

    Substitute values form the data table (any set of values can be used):
    a = (2)(1)/12
    a = 2 m/s2

    d.

    Use the kinematic equation for uniformly accelerated motion:
    x = ½ at2
    Rearrange this to solve for acceleration (a):
    a = 4xt
    Substitute values form the data table (any set of values can be used):
    a = (4)(1)(1)
    a = 4 m/s2

Homework Answers

Answer #1

Since you have not mentioned the original question in which method 1 and method 2 is given. So i answered your question using options.

The answer of first question is option (b) because we have to compare with original equation and after comparision we get a=2(1)=2

The answer of second question is option(a) or option (c) since you not mentioned clearly what is method 1 and method 2.

Although it is a incomplete Question but by using option we can get answer .so i try to answer this question.

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