SOLUTION: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as

Question 58644This question is from textbook CPLLEGE ALGEBRA
: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s=-16t2+v0t+s0
* 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2)
* v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
* s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0=0
a) What is the function that describes this problem?
b) The ball will be how high above the ground after 1 second?
c) How long will it take to hit the ground?
d) What is the maximum height of the ball? This question is from textbook CPLLEGE ALGEBRA

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s=-16t2+v0t+s0
* 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2)
* v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
* s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0=0
a) What is the function that describes this problem?
so=0 and vo=32
s=-16t^2+32t+0

:
b) The ball will be how high above the ground after 1 second?
s(1)=-16(1)^2+32(1)
s(1)=-16(1)+32
s(1)=-16+32

:
c) How long will it take to hit the ground?
0=-16t^2+32t
0=-16t(t-2)
-16t=0 and t-2=0
-16t/-16=0/-16 and t-2+2=0+2
t=0 and t=2s
t=0 is when it was thrown.
is when it lands.
:
d) What is the maximum height of the ball?
The maximum height occurs halfway through the flight of the ball, it lands at t=2 s. So it's maximum height occurs when t=1. We found out that it was on b.
Happy Calculating!!!