Well...they came from a single bacteria and self produce them...if they grew.there will be millions of them...
Answer:
a)
, b) 
Explanation:
a) The maximum height is obtained with the help of the First and Second Derivative Tests:
First Derivative



Second Derivative
(absolute maximum)
The maximum height reached by the ball is:


b) The time required by the ball to hit the ground is:




Just one root offers a solution that is physically reasonable:

The velocity of the ball when it hits the ground is:


The potential energy of the object is going to be gravitational: PE=mgh. Assuming we're talking about the gravitational potential energy relative to the bottom of the cliff, the object's height is 30 m. g is 9.8 m/s^2. We don't know its mass. You could technically use the equation F=mg to find the mass, where F=40 and g=9.8, but that's unnecessary. You can just substitute F into PE=mgh to get PE=Fh. Substitute the given values to get PE=40*30=120 J.
The distance from the 2.0 kg mass at which a string should be attached to balance the rod is 0.67 m.
<h3>What is distance?</h3>
Distance can be defined as the horizontal length between two points.
To calculate the distance at which the string must be attached to balance the rod, we use the formula below.
Formula:
- m₁gx = m₂g(1.2-x)................. Equation 1
From the question,
Given
- m₁ = 2.0 kg
- m₂ = 2.5 kg
- x = Distance of the string from the 2.0 kg mass
- g = Acceleration due to gravity.= 9.8 m/s²
Substitute these values into equation 1
- 2(9.8)(x) = 2.5(9.8)(1.2-x)
Solve for x
Collect like terms
- 19.6x+24.5x = 29.4
- 44.1x = 29.4
- x = 29.4/44.1
- x = 0.67 m
Hence, the distance from the 2.0 kg mass at which a string should be attached to balance the rod is 0.67 m.
Learn more about distance here: brainly.com/question/17273444