SOLUTION: The path of a falling object is given by the function s = -16t + vt + st where v represents the initial velocity in ft/sec and s represents the initial height in feet. A.) If a

Question 111699: The path of a falling object is given by the function s = -16t + vt + st where v represents the initial velocity in ft/sec and s represents the initial height in feet.
A.) If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information.
B.) How high is the rock after 1 second?
C.) After how many seconds will the graph reach maximum height?
D.) What is the maximum height?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
a. plug in the given values for v and s

b. using the equation from a., plug in 1 for t and find s

c. the graph of the equation (a) is a downward opening parabola
___ the maximum height is at the vertex, which lies on the axis of symmetry
___ the equation for the axis of symmetry is t=-b/2a
___ (where a is the coefficient of the t^2 term and b is the coefficient of the t term)

d. plug the result from c. into the equation (a) to find s
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