SOLUTION: 3)Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This

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Question 43552This question is from textbook College Algebra
: 3)Suppose you throw a baseball straight up at a velocity of 64 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 = -16tē + 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?
Answer:



b)The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.



c)How long will it take to hit the ground?
Answer:
Show work in this space.



d)What is the maximum height of the ball? What time will the maximum height be attained?
Answer:
Show work in this space.

This question is from textbook College Algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
a)What is the function that describes this problem?
A quadratic function describes this problem. The shape would be like a parabola.
b)The ball will be how high above the ground after 1 second?
We will decide you are standing on the ground.
s+=+-16t%5E2+%2B+64t
s+=+-16%281%29%5E2+%2B+64%281%29
s+=+-16+%2B+64
s+=+48
c)How long will it take to hit the ground?
s+=+-16t%5E2+%2B+64t
0+=+-16t%5E2+%2B+64t
0+=+-t%5E2+%2B+4t
0+=+-t%28t+-+4%29
t+=+4 After four seconds, the ball will hit the ground.
d)What is the maximum height of the ball? What time will the maximum height be attained?
s+=+-16t%5E2+%2B+64t
Vertex: ((-b/2a),f(x)) ---> (2,64) After two seconds, the ball will reach its maximum height at 64 feet.
+graph%28+600%2C+2000%2C+-10%2C+10%2C+-2%2C+65%2C+-16x%5E2+%2B+64x+%29+
If you are interested, I have a lesson on this named: "Physics".