password= Acceleraton

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Enter the password

STEP 1: GATHER INTEL

Or

Read full page, Answer Practice Questions in bottom right corner

Regardless of Choice: Make sure you take notes on What is Acceleration, How to calculate it, and how to read a velocity vs Time Graph

I have my intel, proceed to decryption

Security Layer 1 Conceptual Analysis

Question: The first lock is protected by a graphical analysis. Study the velocity-time graph below. During which time interval (A, B, or C, ) is the object experiencing the greatest positive acceleration?

Security Layer 2 Core Calculation

Layer 2 requires a calculation. Dr. Inertia's notes state his prototype rocket accelerated from rest. vi=0 m/s to 150 m/s in just 5 s. What was its average acceleration in m/s2

30 m/s 2

15m/s 2

20/s 2

Security Layer 3 Data Interpretation

The final layer is protected by raw data analysis. Calculate the acceleration between t=2s and t=4s from the data table below

Access Granted: Vault Unlocked

You've successfully bypassed the security. Inside, you find the blueprint for Dr. Inertia's propulsion system. A note on it reads: "Success of the system is entirely dependent on maintaining a constant positive acceleration of at least 25 m/s² during the first stage of launch."

>MISSION REPORT REQUIRED<

✅ ACCESS GRANTED. Correct. Acceleration is the slope of a velocity-time graph, and segment 'A' has the steepest positive slope.

Security Level 2

❌ ACCESS DENIED. Recalibrate your analysis, Agent. Remember that acceleration is represented by the slope of the line. You are looking for the steepest upward slope.

Try Again

❌ ACCESS DENIED. Recalibrate your analysis, Agent. Remember that acceleration is represented by the slope of the line. You are looking for the steepest upward slope.

Try Again

✅ ACCESS GRANTED. Excellent calculation. The rocket's acceleration is indeed 30 m/s2. The second security layer is down.

Security Level 3

❌ ACCESS DENIED. Calculation error detected. Double-check your formula: a = (vf - vi) / t. Make sure you're using the correct values for final velocity, initial velocity ('from rest'), and time.

Try Again

❌ ACCESS DENIED. Calculation error detected. Double-check your formula: a = (vf - vi) / t. Make sure you're using the correct values for final velocity, initial velocity ('from rest'), and time.

✅ ACCESS GRANTED. Final layer decrypted. Your analysis of the data is precise. The vault is open.

Open Vault

❌ ACCESS DENIED. Data mismatch. Re-examine the table to find the velocity at exactly t=2s and t=4s. The time interval is the difference between those two points in time.

Try Again

❌ ACCESS DENIED. Data mismatch. Re-examine the table to find the velocity at exactly t=2s and t=4s. The time interval is the difference between those two points in time.

Try Again

Confirmed Data for Report: For your report, please reference the following confirmed data from Dr. Inertia's prototype test: Initial Velocity (vi): 0 m/s Final Velocity (vf): 150 m/s Time (t): 5 s

Final Mission Question:Agent, your final task is to submit your official OSI Mission Report . Answer the following question: Based on your analysis of Dr. Inertia's prototype rocket in Security Layer 2, does his design meet the minimum acceleration requirements for his propulsion system? Justify your answer using the data and calculations from your investigation. Submit your report through the standard channels. Well done, Agent.