Question

SYSTEMS

Vertical Motion: If S=0.5AT^2+VoT+So, find the equation which fits the following 3 data points below .

To make it easier on myself, I'm letting A=x, T=y, Vo=z, and So= w

128=0.5x(1)^2+z(1)+w
80=0.5x(2)^2+z(2)+w
0=0.5x(3)^2+z(3)+w

The answer should come up to be S=-16t^2+144

Answer 1

First step is simplify the coefficients.
for example, the first equation could be
128 = 0.5x + z + w
or (multiply by 2 to get rid of the decimal)
256= x + 2x + 2w

Answer 2

yeah

Answer 3

what do you get for the simplified versions of the 3 equations ?

Answer 4

? I assume the points are (t,s) pairs.
80=0.5x(2)^2+z(2)+w
means
80 = 0.5 * 2^2 * x + 2z + w
there is no x^2 in there

Answer 5

Ah, ok then...I got confused

Answer 6

Odd, every thing I do results in a = -32, not -16 :<

Answer 7

Yes, I get x=-32, z=0 and w=144

I would ask the teacher about this one.