Question
Explain how acceleration and initial velocity decides trajectory of a motion.
✓
Answer
1. The resultant motion is linear if:
- initial velocity $\overrightarrow{ u }=0$ (starting from rest) and acceleration $\vec{a}$ is in any direction.
- initial velocity $\overrightarrow{ u } \neq 0$ and acceleration $a$ is in line with the initial velocity (same or opposite direction).
2. The resultant motion is circular if initial velocity $\overrightarrow{ u } \neq 0$ and acceleration $\overrightarrow{ a }$ is perpendicular to the velocity throughout.
3. The resultant motion is parabolic if the initial velocity $\overrightarrow{ u }$ is not in line with the acceleration $\overrightarrow{ a }$ and $\overrightarrow{ a }=$ constant. e.g., trajectory of a projectile motion.
4. Similarly, various other combinations of initial velocity and acceleration will result into more complicated motions.
- initial velocity $\overrightarrow{ u }=0$ (starting from rest) and acceleration $\vec{a}$ is in any direction.
- initial velocity $\overrightarrow{ u } \neq 0$ and acceleration $a$ is in line with the initial velocity (same or opposite direction).
2. The resultant motion is circular if initial velocity $\overrightarrow{ u } \neq 0$ and acceleration $\overrightarrow{ a }$ is perpendicular to the velocity throughout.
3. The resultant motion is parabolic if the initial velocity $\overrightarrow{ u }$ is not in line with the acceleration $\overrightarrow{ a }$ and $\overrightarrow{ a }=$ constant. e.g., trajectory of a projectile motion.
4. Similarly, various other combinations of initial velocity and acceleration will result into more complicated motions.
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