Question

If I don't get help, my bus will run out of diesel.

Answer 1

A lemming marches off an ice berg, falling directly downward from a height of 12.40 meters. 0.10 seconds later, he is 9.151 meters above the ocean below. 0.20 seconds this altitude is reduced to 5.804 meters, and at 0.30 seconds he as fallen to 2.359 meters above the ocean.



THis? Since I only have 2 constant variables, could I just assign them x and y?

0, 0.10, 0.20. 0.30
12.40, 9.151, 5.804, 2.359

Answer 2

@azolotor @ghazi @nubeer @Spacelimbus

I think you can help, you have before!

Answer 3

I would use t and y being time and height respectively.
what you are looking for is an expression that relates y and t.
So the total height is 12.40 m so the relation would be some like \[y(t)=12.4-xt\] where is its velcoity. Then from there you can use any of those value to solve. You should check them because the expression may be more complicated than I have written it. You may need two. One for the velocity and one for position but start with this and see what happens

Answer 4

Thanks, will do.

Answer 5

But the problem is i need a matrix

Answer 6

then t is one column and y is another

Answer 7

Very true.

Answer 8

stuck

Answer 9

Full question

A lemming marches off an ice berg, falling directly downward from a height of 12.40 meters. 0.10 seconds later, he is 9.151 meters above the ocean below. 0.20 seconds this altitude is reduced to 5.804 meters, and at 0.30 seconds he as fallen to 2.359 meters above the ocean.


1. Via Matrix operations, develop a mathematical expression that represents this fall.
2. If the lemming failed to bring an umbrella, how many seconds into this fall would he impact the ocean?
3. If he did have an umbrella to break his fall, and he opened it 7.000 meters above the water, how much time would he have fallen freely prior to opening the umbrella?
4. What would his speed be the instant he opened his umbrella?
5What is his acceleration due to gravity?

Answer 10

lets first make a table

Answer 11

Ok, got that.

Answer 12

How would you get from matrix to equation?

Velcovity is positon / time

Answer 13

write a linear equation v vs t
this is quadratic

Answer 14

Something like...
F(X)=Ax^3+Bx^2+cx+d?

Answer 15

whoops quadratic, Ax^2...

Answer 16

ax+b

Answer 17

F(X)=Ax^2+Bx+C

Answer 18

\[h_1=h_0+v_0t+1/2at^2\]

Answer 19

\[h(x)=12.4+v_0t+\frac{1}{2}at^2\]
\[h(0.1)=9.151=12.4+v_0(0.1)+\frac{1}{2}(-9.8)(0.1)^2 \implies v_0=-32\]
\[h(t)=-4.9t^2-32t+12.4 \]

Answer 20

hence try to put
h(0.2)=?
h(0.3)=?
this will give you the values in the tabble above

Answer 21

so we got the expreesion,but without using matrix the question says
Via Matrix operations, develop a mathematical expression that represents this fall

Answer 22

we have to start from matrix to equation not vise versa

Answer 23

no idea from here

Answer 24

we have to use gauss-jordan elimination not good at it

Answer 25

2. h(t)=12.4
0=-4.9t^2-32t
3 h=12.4-7=5.4
5.4=-4,9t^2-32t+12.4
4 v=u+at=32-9.8(t)
t from above
5 always constant

Answer 26

Thanks man!