The tangential acceleration provides information about the variation of the velocity vector magnitude. Taking the derivative of the velocity function we find at 2Ėim s2. Line Integrals Evaluating A Line Integral Vector Calculus Line Integral Vector Calculus Calculus Taking the derivative of the velocity function we find a t 2 i ms 2. How to find acceleration vector . The velocity function is linear in time in the x direction and is constant in the y and z directions. Acceleration calculator is a tool that helps you to find out how fast the speed of an object is changing. The acceleration vector is a constant in the negative x-direction. The normal component of the acceleration is a N 45 t 4 72 t 3 66 t 2 24 t 6 9 t 4 t 2 4 t 2 45 t 4 72 t 3 66 t 2 24 t 6 9 t 4 t 2 4 t 2 a N 45 t 4 72 t 3 66 t 2 24 t 6 9 t 4 t 2 4 t 2 45 t 4 72 t 3 66 t 2 24 t 6 9 t 4 t 2 4 t 2. Acceleration is the rate at which velocity changes. Time rate of change is defined as vtdt - vt dt. Velo...