The following function gives the height h metres, of a batted baseball as a function of the time, t seconds, since the ball was hit.
h = -4.5t^2 + 13.5t + 5.875

a) What is the physical significance of the 5.875? Prove this is true.

b) Determine the characteristics of the quadratic function (hint: Write in standard form).

c) What is the geometric significance of the left t-intercept of the graph? Why does this point have no real physical meaning?

Question

The following function gives the height h metres, of a batted baseball as a function of the time, t seconds, since the ball was hit.
h = -4.5t^2 + 13.5t + 5.875

a) What is the physical significance of the 5.875? Prove this is true.

b) Determine the characteristics of the quadratic function (hint: Write in standard form).

c) What is the geometric significance of the left t-intercept of the graph? Why does this point have no real physical meaning?

anonymous · Answer

5.875 is a height about the ground that the ball is hit from

anonymous · Answer

b) I don't understand what b is asking

c) this is where h=0, in other words where ball hit the ground

anonymous · Answer

how would i write the equation in standard form: y=a(x-h)^2+k  ?

anonymous · Answer

nvm, got it thanks for your help!