Which of the following conditions would negate the need for recovery systems?

The assertion that all rockets require recovery systems is not accurate in all contexts. However, some rockets may be designed to not require recovery systems based on specific conditions. For example, certain small model rockets or competition rockets can be constructed with the intention of being single-use, where they are intended to reach a specific altitude or conduct a specific mission without the need for recovery.

When considering the other choices, a rocket’s weight can affect its design and operation but does not universally negate the need for a recovery system; rather, it might complicate the recovery process. Similarly, a rocket built exclusively from paper may have certain fragility issues but does not inherently eliminate recovery needs. A rocket exceeding 160 Newton-seconds of total impulse may operate under specific regulations or thresholds but does not provide a blanket rule regarding the absence of a recovery system.

In essence, recovery systems are typically vital for ensuring safety and repeatability in rocketry, particularly at higher impulse levels, but there can be exceptions based on design, intent, and mission parameters.