At time t s , a particle of mass 3 kg has position vector r → = 3 t i ^ - 4 cos ⁡ t j ^ m . The impulse of the force during the time interval 0 ≤ t ≤ π 2 is

Question

At time t s , a particle of mass 3 kg has position vector r → = 3 t i ^ - 4 cos ⁡ t j ^ m . The impulse of the force during the time interval 0 ≤ t ≤ π 2 is, 12 j ^ N s, 9 j ^ N s, 4 j ^ N s, 14 j ^ N s

MARKS App · Accepted Answer

Given that r → = 3 t i ^ - 4 cos ⁡ t j ^ d r → dt = 3 i ^ + 4 sin ⁡ t j ^ ⇒ d 2 r → dt 2 = + 4 cos ⁡ t j ^ Impulse = ∫ F → . dt = ∫ 0 π 2 m a → dt = ∫ 0 π 2 m 4 cos ⁡ t j ^ . dt = j ^ ∫ 0 π 2 12 cos ⁡ t . dt = 12 j ^ N s

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