The discussion revolves around determining the time when the velocity, given by the equation v = (5.4t - 4.4t^2)i + 8.8j, equals 10 m/s. Participants are exploring the implications of solving for time in this context.
The discussion is active, with participants questioning the validity of the original problem and the implications of obtaining imaginary solutions. There is no explicit consensus, but various interpretations and concerns regarding the physical meaning of the results are being explored.
Participants are grappling with the implications of imaginary numbers in relation to time, indicating a potential misunderstanding or miscommunication regarding the problem setup. There is a focus on the conditions under which the quadratic equation yields imaginary roots.
LawrenceC said:Square the equation to get rid of the radical. Move the 8.8^2 to RHS leaving only something squared on LHS. Take square root and you are left with quadratic. The problem then is that the roots of the quadratic equation are imaginary. Are you sure you copied the problem correctly. B*B-4*A*C < 0.
LawrenceC said:No, you get the square root of a negative number for a time. Last time I looked, time was not an imaginary quantity. B*B-4*A*C is what is under the radical. If it is less than zero, then roots are imaginary.