SOLUTION: 1. If a projectile is launched with an initial velocity of feet per second from an initial height of feet, then its height in feet is determined by the quadratic function w

Question 439434: 1. If a projectile is launched with an initial velocity of feet per second from an initial height of feet, then its height in feet is determined by the quadratic function where t is the time in seconds. When you graph the function you will have the parabolic shape where the maximum point is called the vertex. If a ball is tossed upward with velocity 64 feet per second from a height of 5 feet, the function to represent the height at any time t is given with the equation s(t)=-16t^2+64t+5
a) In how many seconds will the ball reach the maximum height? (5 pts)

b)What is the maximum height in feet that the ball reaches? (5 pts)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
a) In how many seconds will the ball reach the maximum height? (5 pts)
b)What is the maximum height in feet that the ball reaches? (5 pts)
s(t)=-16t^2+64t+5
..
-16t^2+64t+5
complete the square
-16(t^2-4t+4)+5+64
-16(t-2)^2+69
coordinates of vertex(2,69)
ans:
a) The ball will reach the maximum height in 2 seconds
b) The ball will reach the maximum height of 69 ft
see graph below:
..

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