Answer:
V = 42.41cm^3
Explanation:
In order to calculate the volume of the solid, you use the following formula:

where
r: radius of the circular base of the cone = 3 cm
h: height from the circular base to the peak of the cone = 4.5 cm
You replace the values of r and h in the formula for the volume V:

hence, the volume of the solid is 42.41 cm^3
Answer:


Explanation:
We have here a simple harmonic motion, so the equation of the position in this motion is:
(1)
A: Amplitude
ω: angular frequency
φ: phase constant
If we take the derivative of x with respect to t from (1), we can find the velocity equation of this motion:
(2)
Let's evaluate (1) and (2) in t=0.
(3)
(4)
Dividing 4 by 3 we have:


Now, using (3) we can find the amplitude.

I hope it helps!
Well, if the position is <u> x(t) = 2t² + 3t - 5</u>
then the speed is x ' (t) = 4t + 3 (first derivative of 'x' wrt 't')
and the acceleration is x ' ' (t) = 4 (second derivative of 'x' wrt 't')
Apparently, then, the acceleration is constant, and is not a function of time.
After 2.7 seconds or 2.7 years, the acceleration is 4 .
Force = (mass) x (acceleration)
Force = (1.8) x (4)
<em>Force = 7.2 newtons </em>
Gravitational force is the universal force of attraction acting between all matter.
Hope it helps yah (◕ᴗ◕✿)