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## The motion of a set of particles moving along the x-axis is governed by the differential equation dx dt = t 3 – x3, where x1t2 denotes the p

Question

The motion of a set of particles moving along the x-axis is governed by the differential equation dx dt = t 3 – x3, where x1t2 denotes the position at time t of the particle. (a) If a particle is located at x = 1 when t = 2, what is its velocity at this time? (b) Show that the acceleration of a particle is

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Physics
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2021-09-05T08:05:59+00:00
2021-09-05T08:05:59+00:00 1 Answers
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## Answers ( )

Answer:a)V=7 m/sb)a=3t²-3x² t³ +3 x ⁵Explanation:Given that

a)

We know that velocity V is given as follows

At t= 2 s and x= 1 m

V=7 m/sb)Acceleration a is given as follows

Now by putting the values

a=3t²-3x² t³ +3 x ⁵Therefore the acceleration of a particle will be 3t²-3x² t³ +3 x ⁵.