Question

the distance from a fixed point 0 of a particle P moving in a straight line in
given by S= 16 + 48t -t^3.the direction of the motion of the particle after t=4 seconds is

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Answer 1

Hey Dear,

◆ Answer -

Direction of the motion of the particle after t = 4 seconds is same as initial direction.

◆ Explanation -

As we know, displacement of the particle is given by -

s = 16 + 48t - t^3

At t = 4 s,

s = 16 + 48×4 - 4^3

s = 16 + 192 - 64

s = 144 units

As displacement of the particle is positive, it suggests that particle is travelling in the same direction as it was started.

Thanks dear..