**Question: **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* = -16*t*^{2} + v_{0}*t* + *s*_{0}

16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second^{2}).

*v*_{0} is the initial velocity (how hard do you throw the object, measured in feet per second).

*s*_{0} is the initial distance above ground (in feet). If you are standing on the ground, then *s*_{0 }= 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 maximum height be attained?

**Solution:**The solution consists of 237 words (2 pages)

**Deliverables:**Word Document