A right cylindrical solid is cut in half to form the figure shown. If the length is 20 cm and the diameter is 8 cm, what is the
2 answers:
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Answer:
Our equation for the height is:
y(t) = 275 - 16*t^2.
a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:
Then:
i) t1 = 4s, t2 = 4s + 0.1s = 4.1s
The average velocity is:
And the units will be ft/s, so the average speed is:
-129.6 ft/s
The minus sign is because te pebble is falling down.
ii) t1 = 4s, t2 = 4s + 0.05s = 4.05s
The average velocity is:
So the average speed is -128.9 ft/s
iii) t1 = 4s, t2 = 4s + 0.01s = 4.01s
The average speed is:
The average speed is -128.16 ft/s.
b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.
v(t) = dy(t)/dt.
v(t) = -2*16*t + 0
Then the velocity at t = 4s is:
v(4s) = -32*4 = -128
The instantaneous velocity at t = 4s is -128 ft/s.
The perimeter of the equatorial triangle is 24 units
<h3><u>Solution:</u></h3>Given that,
An equilateral triangle has an height equal to
The triangle is shown below
From Triangle ABC in the shown figure AD
Let the sides of the equilateral triangle be ‘a’
AB = BC = a
Since, it is an equilateral triangle we get,
BD = DC = a ÷ 2
Now, using Pythagoras Theorem in Triangle ABD,
The Pythagorean theorem is this: In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
a = 8
Hence, the three sides of the triangle are 8 units each
In equilateral traingle, length of all three sides of triangle are equal
So, Perimeter = 3 (Length of each side of triangle)
Perimeter = 3 8 = 24
Thus the perimeter of the equatorial triangle is 24 units
