Question

engineers built both mathematical prototypes and physical prototypes to help research and test their design of the saturn v rocket. they built mathematical prototypes first because those are usually quicker and less expensive to build than physical prototypes. the mathematical prototypes helped engineers refine their designs. for example, engineers used the mathematical prototypes to calculate how much power the engines would need to produce to send the spacecraft to the moon. after using the mathematical prototypes to refine the designs, engineers could build life - size physical prototypes of the saturn v rocket. the physical prototypes could be launched from earth to test how well they worked. engineers wanted to test the design without putting people in danger, so the prototypes were launched without astronauts inside. which of the following statements about the saturn v rocket prototypes are true? select all that apply. first, physical prototypes were used to test how well the rocket worked. then, mathematical prototypes were used to refine the design. physical prototypes were launched from earth to test how well they worked. neither the mathematical prototypes nor the physical prototypes put astronauts in danger. mathematical prototypes helped engineers calculate how powerful the rocket must be.

Explanation:

1. According to the text, mathematical prototypes were built first to refine designs and then physical prototypes were built for testing. So the statement "First, physical prototypes were used to test how well the rocket worked. Then, mathematical prototypes were used to refine the design." is false.
2. The text states "The physical prototypes could be launched from Earth to test how well they worked." so the statement "Physical prototypes were launched from Earth to test how well they worked." is true.
3. Mathematical prototypes are non - physical and physical prototypes were launched without astronauts, so "Neither the mathematical prototypes nor the physical prototypes put astronauts in danger." is true.
4. The text mentions "engineers used the mathematical prototypes to calculate how much power the engines would need to produce to send the spacecraft to the Moon", which means mathematical prototypes helped calculate the power of the rocket, so "Mathematical prototypes helped engineers calculate how powerful the rocket must be." is true.

Answer:

B. Physical prototypes were launched from Earth to test how well they worked.
C. Neither the mathematical prototypes nor the physical prototypes put astronauts in danger.
D. Mathematical prototypes helped engineers calculate how powerful the rocket must be.