Is acceleration a scalar quantity or vector quantity?

Answer 1

Acceleration is both a scalar and a vector. Acceleration is a Quaternion quantity.

For example in Gravitational force F=ma = XW= [d/dr, Del] [ -mu/r , cmV]:

a= [d(-u/r)/dr - cDel.V, cdV/dr + Del (-u/r) + cDelxV]

a= [v2/r -cv/r cos(RV), dV/dt + w2R + cv/r sin(RV) 1RxV]

The terms before the comma ',' are scalar accelerations and the terms after the comma are vector accelerations.

v2/r is the centripetal acceleration, center seeking);

-cv/r cos(RV) is the centrifugal acceleration (center fleeing);

dV/dt = - cV/r is the tangential vector accceleration;

w2R is the radial vector acceleration;

cv/r sin(RV) 1RxV is the Curl (circulation) acceleration.

Answer 2

Acceleration (along with velocity, of which it is its derivative with respect to time) is a vector quantity; it has both a direction and a magnitude.

Answer 3

Acceleration, like velocity, is a vector quantity, because it has both direction and magnitude.