What is the sum of the first six terms of the geometric series? 2-4+8-16+
1 answer:
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Answer:
Step-by-step explanation:
Given that,
Mass of material, m = 6900 grams
Volume of the material, V = 4.5 quarts
We need to find the density in pounds per cubic foot
We know that,
1 pound = 453.59 grams
⇒ 6900 grams = 15.21 pounds
Also, 1 cubic foot = 29.92 quarts
4.5 quart = 0.15 feet³
Density = mass/volume
Or
Hence, the density of the material is
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
