The equation r(t)= (2t)i + (2t-16t^2)j is the position of a particle in space at time t. find the angle between the velocity and acceleration vectors at time t=0.

The answer is 135 degrees.

Step-by-step explanation:

As we are given the position. If we take the derivative, we get the velocity vector. If we take the derivative again, we find the acceleration vector of the particle.

At time t=0;

As i attach in the picture the angle between the velocity and acceleration vector is degrees

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12