Starting from the origin at time t = 0, with initial velocity 5ĵ ms⁻¹, a particle moves in the x-y plane with a constant acceleration of (10î + 4ĵ)ms⁻². At time t, its coordinates are (20 m, y₀m). The values of t and y₀ are, respectively:
Starting from the origin at time t = 0, with initial velocity 5ĵ ms⁻¹, a particle moves in the x-y plane with a constant acceleration of (10î + 4ĵ)ms⁻². At time t, its coordinates are (20 m, y₀m). The values of t and y₀ are, respectively:
Option 1 -
2 s and 24 m
Option 2 -
4 s and 52 m
Option 3 -
5 s and 25 m
Option 4 -
2 s and 18 m
Asked by Shiksha User
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1 Answer
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Correct Option - 4
Detailed Solution:U? = 5?
? = 10î + 4?
⇒ S? = U? t + ½ (? )t²
⇒ 20î + y? = (5t²)î + (5t + 2t²)?
20 = 5t² y? = 5t + 2t²
t = 2 ⇒ 18 m.
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