Verified Solution • 2025–26 Session
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Q3.17: NCERT Physics - Part 1 MOTION IN A PLANE 3.17 Solution: The position of a particle is given by r = 3.0t i _ 2.0t_ j +…
The position of a particle is given by r = 3.0t i _ 2.0t_ j + 4.0 k m where t is in seconds. (a) Find the v and a of the particle? (b) What is the magnitude and direction of velocity of the particle at t = 2.0 s?
Step-by-Step Verified Solution
**Answer:** (a) v = 3.0i _ 4.0t j m/s, a = _4.0 j m/s_. (b) v = 3.0i _ 8.0j m/s, |v| = 8.54 m/s, _ = tan__(8/3) below x-axis.
**Step-by-Step Explanation:**
(a) v = dr/dt = 3.0i _ 4.0t j. a = dv/dt = _4.0 j m/s_.
(b) At t = 2 s: v = 3.0i _ 8.0j. |v| = �(9 + 64) = 8.54 m/s. Direction: tan _ = 8/3, _ = 69.4� below x-axis.
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