SOLUTION: word problem: Suppose a baseball is shot up from the ground straight up with an initial velocity of 64 feet per second. A function of time, t. This function is s=16t squard+v0t+

Question 82349: word problem:
Suppose a baseball is shot up from the ground straight up with an initial velocity of 64 feet per second. A function of time, t. This function is s=16t squard+v0t+so.
16 represents 1/g, the gravitational pull due to gravity (measured in feet per second squared.
v0 is the initial velocity (how hard do you throw the object, measured in feet per second squared).
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? What time will the masimum height be attained?
Answer by stanbon(75887) (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 64 feet per second. A function of time, t. This function is s=16t squard+v0t+so.
16 represents 1/g, the gravitational pull due to gravity (measured in feet per second squared.
v0 is the initial velocity (how hard do you throw the object, measured in feet per second squared).
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?
s(t)=-16t^2+64t+0
---------------------

b)The ball will be how high above the ground after 1 second?
s(1) = -16+64+0 = 48 ft above the ground
------------------
c)How long will it take to hit the ground?
When it hits the ground its height is zero:
-16t^2+64t=0
-16t(t-4)=0
t=0 or t=4
This means it is on the ground when it starts and 4 seconds later.
------------------------
d)What is the maximum height of the ball? What time will the masimum height be attained?
maximum occurs at t=-b/2a = -64/(-32) = 2 seconds
s(2) = -16*(2)^2 +64*2
s(2) = -64 + 128
s(2) = 64 ft above the ground
================
Cheers,
Stan H.

RELATED QUESTIONS
Suppose a baseball is shot up from the ground straight up with an initial velocity of 32... (answered by stanbon)

Suppose a baseball is shot up from the ground straight up with an initial velocity of 32... (answered by Nate)

Please do not delete this question. Suppose a baseball is shot up from the ground... (answered by stanbon,bucky)

Please do not delete this. Suppose a baseball is shot up from the ground straight up... (answered by stanbon)

suppose a baseball is shot up from the ground straight up with an initial velocity of 64... (answered by bucky)

Suppose a baseball is shot up from the ground straight up with an initial velocity of 32... (answered by stanbon)

Suppose a baseball is shot up from the ground straight up with an initial velocity of 32... (answered by Nate)

Im having a hard time with this problem. Please help! Suppose a baseball is shot up... (answered by Earlsdon)

Does anyone have any idea what this problem means? Any help would be appreciated!... (answered by stanbon)