Question

Can someone please teach me how to complete questions? Attachment below.
+ I don't know how to write the equations for questions 4&5.

Answer 1

m using calculus based approach
find the critical point by differentiating the function to get maximum height
\[h'(t)=200-8t\]

set equal to zero
\[200-8t=0\]
\[t=\frac{200}{8}=25\]
put in the original equation to get maximum height
\[h=4*25(50-25)=2500 m\]

this is the maximum height
graph is

Answer 2

can u do rest of the parts :)
if not let me know

Answer 3

@sami-21 i honestly didn't understand a thing that you typed ....
The question asks to sketch the graph 0<t<50
And I don't know how to do that

Answer 4

ok to plot this just take some point of t and put in the equation and get corresponding value of h then you will have some order pairs plot these on the graph join all of them. and thats it
let me do it

Answer 5

take point t=0,10,20,30,40,50

put all of the above in the equation
h(0)=4*0(50-0)=0
h(10)=4*10(50-10)=1600
h(20)=4*20(50-20)=2400
h(30)=4*30(50-30)=2400
h(40)=4*40(50-40)=1600
h(50)=4*50(50-50)=0
so we have to plot the points to some scale take 1 unit =400m on h axis and 1unit =10 sec on t axis
(0,0),(10,1600,),(20,2400),(30,2400),(40,1600),(50,0)

here is rough sketch to suitable scale