Negelecting air resistance, the height of a projectile fired vertically into the

Question

Negelecting air resistance, the height of a projectile fired vertically into the air from a height of 5 feet above the ground at an intial velocity of 96 feet per second is a function of time x and is given by the equation f(x)= -16x^2 + 96x + 5.

1. Fill in the following table of value for the function, and give a short interpertation for each point, consisting of time in the air and height at that time.(Below is the table)

t  h(t)    Point        Interpertation

0                                                     

1                                                     

2.5                                                  

3.5                                                  

2. After how many seconds is the height of the ball 70 feet?

3. How long will it take for the ball to return to the ground?

4. How long will it take the ball to reach its maximum height? What is the maximum height reached?

Explanation / Answer

0 = 0

1 = 85

2.5 = 145

3.5 =145

b) 0.77 and 5.22 sec

c) 6.05 s

d) 3 sec

and h = 149m

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