Answer:
The acceleration vector of the particle at time t=3 is (6,5).
Step-by-step explanation:
Acceleration:
The acceleration is the derivative of the velocity.
Derivative of a vector:
To derivate a vector, we derive each component.
v(t)=(t^2, 5t)
So
a(t) = v'(t) = (2t, 5).
What is the acceleration vector of the particle at time t=3?
a(3) = (2*3, 5) = (6,5)
The acceleration vector of the particle at time t=3 is (6,5).
