Motion in a Plane — Flashcards
Maharashtra Board · Class 11 · Physics
25 flashcards for Motion in a Plane (Maharashtra Board Class 11 Physics) to test yourself on key terms and facts.
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What is the difference between displacement and path length? Give an example.
Answer
**Displacement**: Vector quantity representing the shortest distance between initial and final positions with direction. **Path length**: Scalar quantity representing the actual distance traveled. **…
Define average velocity and write its formula for motion in a plane.
Answer
**Average velocity** is the displacement divided by time interval. **Formula**: v_av = (r₂ - r₁)/(t₂ - t₁) = Δr/Δt In component form: v_av = ((x₂-x₁)/(t₂-t₁))î + ((y₂-y₁)/(t₂-t₁))ĵ **Note**: It's a…
What is instantaneous velocity? How is it calculated?
Answer
**Instantaneous velocity** is the velocity of an object at a specific instant of time. **Formula**: v = lim(Δt→0) Δr/Δt = dr/dt In components: v = (dx/dt)î + (dy/dt)ĵ **Direction**: Always tangent …
State the three equations of motion for uniform acceleration in vector form.
Answer
For uniform acceleration, the three equations are: 1. **v = u + at** (velocity-time relation) 2. **s = ut + ½at²** (displacement-time relation) 3. **v² = u² + 2as** (velocity-displacement relation) …
A particle moves with position vector r = (5t²î + 3tĵ) m. Find its velocity and acceleration at t = 2s.
Answer
**Given**: r = (5t²î + 3tĵ) m **Solution**: Velocity: v = dr/dt = (10tî + 3ĵ) m/s At t = 2s: v = (20î + 3ĵ) m/s |v| = √(20² + 3²) = √409 = 20.22 m/s Acceleration: a = dv/dt = 10î m/s² |a| = 10 m/s² …
What is relative velocity? Write the formula and give an example.
Answer
**Relative velocity** of object A with respect to object B is the velocity that A appears to have when observed from B. **Formula**: v_AB = v_A - v_B **Example**: Train A moves at 80 km/h east, Trai…
An airplane flies north at 300 km/h while wind blows east at 100 km/h. Find the airplane's velocity relative to ground.
Answer
**Given**: v_plane = 300ĵ km/h, v_wind = 100î km/h **Solution**: Velocity relative to ground = v_plane + v_wind v_resultant = 100î + 300ĵ km/h **Magnitude**: |v| = √(100² + 300²) = √100000 = 316.2 k…
What is projectile motion? State its key characteristics.
Answer
**Projectile motion** is the motion of an object thrown with some initial velocity under the influence of gravity alone. **Key characteristics**: 1. **Horizontal motion**: Uniform (no acceleration, v…
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