A baseball, hit 3 feet above the ground, leaves the bat at an angle of 45and is caught by an outfielder 3 feet above the ground and 300 feet from home plate. What is the initial speed of the ball, and how high does it rise?

Initial speed u = 29.94 m/s or 98.23 ft/s

Maximum height h = 22.87m or 75.03ft

Step-by-step explanation:

The range of a projectile is the horizontal distance covered by the projectile. And can be written as;

Range R = u^2sin2θ/g

Given:

R = 300 ft = 91.44 m

Angle θ = 45°

u = initial speed

g = acceleration due to gravity = 9.8m/s^2

u^2 = Rg/sin2θ

u = √(Rg/sin2θ)

u = √(91.44×9.8/sin(2×45))

u = 29.94 m/s or 98.23 ft/s

The maximum height can be derived from

h = u²sin²θ/2g

Substituting the values.

h = (29.94)^2 × sin²(45) / (2×9.8)

h = 22.87m or 75.03ft

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !