A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2

64 feet

Step-by-step explanation:

Complete question

A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2. Find the maximum height reached by the ball.

At maximum height, the velocity of the ball is zero, i.e ds/dt  =0

ds/dt = 64 - 32t

64 - 32t = 0

32t = 64

t = 64/32

t = 2secs

Substitute t = 2secs into the given equation;

Recall that s(t)=64t-16t^2

s(2) = 64(2) - 16(2)^2

s(2) = 128 - 16(4)

s(2) = 128 - 64

s(2) = 64 ft

Hence the maximum height reached by the ball is 64 feet

step-by-step explanation:

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 !