The effect of a hybrid semiactive control technique on steady state and transient dynamics that occur in a vehicle suspension is studied analytically, using a single suspension model. Hybrid semiactive control refers to a technique that mathematically combines the commonly-used skyhook and groundhook control methods for vehicle suspensions. The steady state analysis evaluates the response of hybrid control with different weighting factors to periodic inputs at the sprung body (vehicle body) and unsprung body (axle) natural frequencies. The transient response analysis includes an evaluation of different aspects of the damper, vehicle body, and axle dynamics to a step input. The damper force-velocity trajectories, vehicle body and axle response, and vehicle body jerk are among the metrics that are examined as part of this analysis. The results of the study show that several tradeoffs exist between improving the response of the suspension at its natural frequencies, and between the response of the vehicle body and axle to transient inputs. The trade offs can be adjusted through changing the hybrid control gain, which adjusts between the emphasis on skyhook and groundhook control. The results further indicate that, in balance, hybrid control can be more effective in controlling suspension dynamics than either skyhook or groundhook control.