The acceleration of an object in the space is given by the vector function below:
a (t) = t 2 i + e -t j + t k
Find the position vector function, r (t), of this object if the initial velocity is 2 i – j + 3 k and the initial position is j . Then, find the location of the object at the time t = 5 secs and t = 25 secs.
