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

a)V=7 m/s

b)a=3t²-3x² t³ +3 x ⁵

Explanation:

Given that

a)

We know that velocity V is given as follows

At t= 2 s and x= 1 m

V=7 m/s

b)

Acceleration a is given as follows

Now by putting the values

a=3t²-3x² t³ +3 x ⁵

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

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.