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 .