Aball is thrown directly upward from a height of 3 ft with an initial velocity of 28 ft/sec. the function s(t)equalsminus16tsquaredplus28tplu s3 gives the height of the ball, in feet, t seconds after it has been thrown. determine the time at which the ball reaches its maximum height and find the maximum height.

Explanation:

Position of the ball as a function of time is given as

now we know that when ball will attain maximum height then the differentiation of the position with respect to time will become zero

so we have

now the maximum height is given as

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min