height,maximum

[beckers162]

the path of a cricket ball after it has been hit by the batsman is modeled by the function:
h=-0.025d^2+d+1.5
where h is the vertical height of the ball (above the ground) in meters and d is the horizontal distance traveled by the ball (from the batsman) in meters.
how far (horizontally) is the cricket ball from the batsman when it reaches its maximum height above the ground?

 

[Deleted member 4993]

the path of a cricket ball after it has been hit by the batsman is modeled by the function:
h=-0.025d^2+d+1.5
where h is the vertical height of the ball (above the ground) in meters and d is the horizontal distance traveled by the ball (from the batsman) in meters.
how far (horizontally) is the cricket ball from the batsman when it reaches its maximum height above the ground?

h=-0.025d^2+d+1.5

That is an equation of a parabola. What is the co-ordinate of the vertex of the parabola?

What are your thoughts?

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Cricket fan.... Denis watch out

 

[stapel]

The path of a cricket ball after it has been hit by the batsman is modeled by the function h = -0.025d^2 + d + 1.5, where h is the vertical height of the ball (above the ground) in meters, and d is the horizontal distance traveled by the ball (from the batsman) in meters. How far (horizontally) is the cricket ball from the batsman when it reaches its maximum height above the ground?

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

They've given you a formula that relates the height "h" to the horizontal distance "d". This is a negative quadratic, so you noted that the graph looks like... what? You are asked for the value of "d" at the maximum height, which is... which point on the graph? (refresher here) You found this point... how? What were the h-value and d-values of this point?

Please be complete. Thank you!

 

[beckers162]

height,maxium

I haven't started this question as im not sure how to. never been good at algebra or quadratics.
if its a negative quadratic it would have a sad face (something my lecturer called it)

 

[stapel]

I haven't started this question as im not sure how to. never been good at algebra or quadratics.
if its a negative quadratic it would have a sad face (something my lecturer called it)

And what is the name of the highest point of that "frown"? How does one find the coordinates of that point? What information does that point give you, with respect to this exercise?

If you're not sure what to use, please reply with a listing of everything they've covered recently in your class, particularly as they apply to this section of homework. Thank you!