A particle starts from the origin at t = 0 with an initial velocity of 3.0 i ^ m / s and moves in the x - y plane with a constant acceleration 6.0 i ^ + 4.0 j ^ m / s 2 . The x - coordinate of the particle at the instant when its y - coordinate is 32 m is D meters. The value of D is:

Question

A particle starts from the origin at t = 0 with an initial velocity of 3.0 i ^ m / s and moves in the x - y plane with a constant acceleration 6.0 i ^ + 4.0 j ^ m / s 2 . The x - coordinate of the particle at the instant when its y - coordinate is 32 m is D meters. The value of D is:, 32, 50, 60, 40

MARKS App · Accepted Answer

S y = u y t + 1 2 a y t 2 32 = 0 + 1 2 × 4 t 2 ⇒ t = 4 s S x = u x t + 1 2 a x t 2 = 3 × 4 + 1 2 × 6 × 16 = 60 m

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