Answer:
Explanation:
the development of the history of science, the histories of the individual scientific disciplines have played an enormously significant role. The goals and functions of these have recently received considerable attention, both because of the influence that such histories have had on the legitimacy and self-image of the disciplines and also because of the adaptability that they have shown when faced with the conceptual and methodological changes that they have undergone.
To solve this problem it is necessary to apply the concepts related to the Force from Hook's law as well as the definition of the period provided by the same definition.
We know that the Force can be defined as

Where
k = Spring constant
x = Displacement
g = Gravity
m = mass
At the same time the period of a spring mass system is defined as

Where
m = Mass
k = Spring constant
Our values are given as,
m = 0.404kg
x = 0.666m
Replacing to find the value of the Spring constant we have that



Now using the formula of the period we know that



Finally, if the oscillation was 0.359m
The maximum height will be determined by the total length of that oscillation being equivalent to



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Answer:
a) Acceleration of runner is 1.33 m/s²
b) Acceleration of motorcycle is 2.85 m/s²
c) The motorcycle moves 84.21-2.94 = 81.06 m farther than the runner.
Explanation:
t = Time taken
u = Initial velocity = 0
v = Final velocity
s = Displacement
a = Acceleration
Equation of motion

Acceleration of runner is 1.33 m/s²

Acceleration of motorcycle is 2.85 m/s²

The runner moves 2.94 m

The motorcycle moves 84.21 m
The motorcycle moves 84.21-2.94 = 81.06 m farther than the runner.