The acceleration of a body travelling in a straight line is given by a = -C1 - C2v2
where v is the velocity, and C1, C2 are positive constants. Starting with an initial
positive velocity vo, the distance travelled by the body before coming to rest for the
first time is:
Options:
(A) 1
2C2
ln (1 + C2
C1
vo
2)
(B) 1
2C2
ln (1 - C2
C1
vo
2)
(C) 1
2C2
ln(C1 + C2vo
2)
(D) 1
2C2
ln(1 + C2vo
2)
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.12)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Structural Mechanics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.