however , acceleration is a vector quantity so direction is also considered

Examples:

The magnitude of an obtuse angle is greater than 90 degrees. The magnitude of the crime was enormous.

The magnitude of destruction is huge.

Since acceleration is a measurable parameter it has a magnitude. Its value is given by the ratio of the change in the velocity of a body to the time over which the change took place.

Example:

A car took 10 seconds to reach a velocity of 100 miles/hour from stand still.

Acceleration=100/10=10 miles/hour second.

This is a rogue unit used for cars. Actually, the velocity and the time will both be in seconds.

Example: Acceleration due to gravity on earth=32 feet/sec.sec.