Question 43552
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^2 + 64t}}}
{{{s = -16(1)^2 + 64(1)}}}
{{{s = -16 + 64}}}
{{{s = 48}}}
c)How long will it take to hit the ground?
{{{s = -16t^2 + 64t}}}
{{{0 = -16t^2 + 64t}}}
{{{0 = -t^2 + 4t}}}
{{{0 = -t(t - 4)}}}
{{{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^2 + 64t}}}
Vertex: ((-b/2a),f(x)) ---> (2,64) After two seconds, the ball will reach its maximum height at 64 feet.
{{{ graph( 600, 2000, -10, 10, -2, 65, -16x^2 + 64x ) }}}
If you are interested, I have a lesson on this named: "Physics".