Answer:
The position P is:
ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity
is:

Where
is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
ft/sec
ft/sec
Thus

The height after 2 sec is:


Then the equation that describes the horizontal position of the ball is

Where
for this case
ft / sec
ft/sec
So

After 2 seconds the horizontal distance reached by the ball is:

Finally the vector position P is:
ft
Using the Empirical Rule, it is found that 95% of the candies have weights between 0.7 and 0.98 gram.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Researching this problem on the internet, we have that:
- The standard deviation is of 0.07.
Then 95% of the candies have weights between 0.7 and 0.98 gram, as:
More can be learned about the Empirical Rule at brainly.com/question/24537145
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Answer:
a. 450 b. 10078.9097
Step-by-step explanation:
a. go with the formula W=FD
F= force
W= work done
D= distance
b. go with the formula F=mgcos(x)
M= mass
G= gravity constant (9.8)
then get to the normal formula of W=FD after getting the Force
Answer:
57y
Step-by-step explanation:
23y+34y = 57y
Answer:C
Step-by-step explanation: