#### James Smithson

##### New member

- Joined
- Nov 6, 2020

- Messages
- 29

I am stuck on a question again, and yet again I feel its my understanding of the English Language letting me down.

I will type up the info and the question and the information I have worked out.

Q7(a) Before puting a tree swing up a programmer models the trajectory a child would follow if it broke at a certain point.

this is his equasion

y= -0.33x^2 + 0.84x + 6 (0≤x≤6)

We are told that x is horizontal distance from the point the swing breaks. and y is the vertical hight of the child from the ground (these are all in meters)

here are some things i think i know:

The y intercept is (0,6) (i think this represents the hight oh the child when the swing breaks ???)

the x intercepts are (5.7,0) and (-3.2,0) (i rounded these to 1 d.p not sure if i was supposed to)

what i need to know and am not sure is:

assuming the ground is flat give a horizontal distance between the start of the childs trajectory and where they would land.

for this I am guessing that it means when the swing breaks (of which i presume it breaks at x=0 ) how far does the child go

does it want me to find the line of symetry for the parabolla and measure the distance to each x intercept ??

completly stuck its been niggling me for a few days.

thank you in advance you are all amazing