Answer:
Signal Detection Theory, or SDT, is probably the most important and influential theoretical framework for modeling how perceptual decisions are made in forced-choice tasks. Its central concept is that perceptual decisions are based on a stochastic or probabilistic representation of stimuli inside the brain.
Explanation:
Let at any instant of time the speed is vo and the angle made by the bike with the horizontal is given
now we have
component of speed in x direction given as

component of speed in y direction will be

now from above two equations we can say that here
= angle with the horizontal at any instant
and since here it is a sine curve so we know that

so we have slope of graph

The change in velocity is 10 mi/h (4.47 m/s)
Explanation:
The change in velocity of the motorcyclist is given by

where
v is the final velocity
u is the initial velocity
In this problem, we have
u = 0 (the motorbike starts from rest)
v = 10 mi/h
Therefore, the change in velocity is

And keeping in mind that
1 mile = 1609 m
1 h = 3600 s
We can convert it into m/s:

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Answer:
Explanation: simple kinematics
we suppose that initially vo= 0 so if the skier moves 4s :
vf = vo +at = 0 + 3*4 = 12 m/s
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