Question

If x = e5t where x is the position of a particle in meter, then position of the particle at time t = 1 s is equal to

Answer 1

Answer:

x = e^5

Explanation:

x = e^5 = (2.71)^5

Answer 2

Answer:

Concept:
The position of a particle moving in a straight line is a vector that represents a point P on the line in relation to the origin O. The position of a particle is often thought of as a function of time, and we write x(t) for the position of the particle at time t.

Explanation:

Given:

                         we have $x &=e^{5t$

Find:

Position of the particle at time t = 1 s

Solution:

                        Position at t=1

  By substituting the value of t = 1 in the given equation,

                                $x &=e^{5 \times 1}$

                                   $&=e^{5} \\\\e &=2.718 \\\\x &=(2.718)^{5}$

If x = e5t where x is the position of a particle in meter, then position of the particle at time t = 1 s is equal to   $x &=(2.718)^{5}$

If we wish to calculate displacement,

                               $t=0, x=e^{0}=1\\\\\text { At } t=1, \ x=e^{5}\\\\Displacement, \ s=e^{5}-1$

And the displacement will be  $s=e^{5}-1$

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