The broadband scattering characteristics of a target may be used to distinguish its echoes from those of clutter. In a shallow water situation, the echo from the target will consist of a sequence of pulses corresponding to the various coherent combinations of incident and backscattered multipath arrivals. Thus, the interference effects of the waveguide propagation can have a significant effect upon the received echo and thus also affect the classification of the target from the echo. In addition, the target may be moving, in which case the received echo is also Doppler-shifted. The purpose of this paper is to investigate the simultaneous determination of a spherical target's position (range and depth) within a waveguide, its radial speed, its radius, its shell thickness, and the elastic parameters of the shell. It will be shown that many of these parameters can be accurately estimated from a single wideband echo, even in the presence of significant noise. The marginal probability distributions of the parameter values will also be investigated. It will be seen that the positional and speed parameters of the sphere can be determined to high precision. The other parameters are determined with varying degrees of precision.