Answer:
I don't now
Step-by-step explanation:
I am not sure

The Laplace transform is then

Let
denote the integral we want to compute. Integrating by parts, setting


gives

Integrate by parts again, setting


Then




Answer:
The velocity function is the particle is
.
Step-by-step explanation:
The acceleration function of a moving particle is

The initial conditions are v(0) = −3, s(0) = 5.
Integrate the acceleration function with respect to time to find the velocity function.


Use the initial condition v(0) = −3 to find the value of C₁.





So the velocity function is the particle is

Integrate the acceleration function with respect to time to find the position function.


Use the initial condition s(0) = 5 to find the value of C₂.




So, the position function is the particle is
.