The discussion revolves around a physics problem involving two objects: Object A, which is in free fall, and Object B, which is ascending with a constant velocity. The participants are trying to determine the time at which the two objects meet, using equations of motion.
There is ongoing exploration of the problem with various attempts to set up the equations correctly. Some participants have provided hints and guidance on using the quadratic formula and completing the square, while others express uncertainty about their results and the correctness of their calculations.
Participants mention constraints such as the initial heights of the objects and the acceleration due to gravity. There is also discussion about the direction of motion and how it affects the equations being used.
What's your final answer for t?groetschel said:Ok, let me try this...
##h - vt - \frac 1 2 g t^2 = 0##
$$ ax^2 + bx + c = 0 $$
You could always have checked this on a spreadsheet. You want to find ##t## such that:groetschel said:???
Please try it on your own:
H = 2m
v = 5.833 m/s
g = 9.8 m/s2
Solve the equation for t...
| u | g | ||
5.833 | 9.8 | ||
| t | ut | 1/2 gt^2 | d |
0.01 | 0.05833 | 0.00049 | 0.05882 |
0.02 | 0.11666 | 0.00196 | 0.11862 |
0.03 | 0.17499 | 0.00441 | 0.1794 |
0.04 | 0.23332 | 0.00784 | 0.24116 |
0.05 | 0.29165 | 0.01225 | 0.3039 |
Put the first into the form of the second and identify what is a,b and c. Then use the formula given earlier for the quadratic in terms of a,b,c to solve for t (or x if that's easier).groetschel said:Ok, let me try this...
##h - vt - \frac 1 2 g t^2 = 0##
$$ ax^2 + bx + c = 0 $$