At t = 0, a particle starts from rest at x = 0, y = 0, and moves in the xy plane with an acceleration a⃗ = (4.0i^ + 3.0j^) m/s2. Assume t is in seconds. Determine the speed of the particle as a function of time t.

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Isabella

Mathematics

4 April, 16:24

At t = 0, a particle starts from rest at x = 0, y = 0, and moves in the xy plane with an acceleration a⃗ = (4.0i^ + 3.0j^) m/s2. Assume t is in seconds. Determine the speed of the particle as a function of time t.

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Buzzy · Answer 1

Because the initial conditions are zero, one integrates twice, discarding the constant of integration each time. The displacement vector, s (t), is:

s (t) = (2.0î + 1.5ĵ) t² meters