If speed is measured in meters per seconds (m/s) and time is measured in seconds, the SI unit of accelerating is m/s2. Imagine you are riding a motorcycle that is accelerating at a rate of 6m/s2. What is the motorcycle's speed after three seconds of acceleration?

Acceleration is a vector quantity that relates changes in speed to the time it takes to occur. Its unit of measurement, in the International System is meters per second squared [tex]\frac{m}{s^{2} }[/tex]. This is expresed as:

[tex]acceleration= \frac{change in speed}{time}[/tex]

Acceleration relates changes in speed with the time in which they occur, that is, it measures how fast changes in speed are:

A large acceleration means that the speed changes rapidly.
A small acceleration means that the speed changes slowly.
Zero acceleration means that the velocity does not change.

In this case you know:

acceleration= [tex]6\frac{m}{s^{2} }[/tex]
speed=?
time= 3 seconds

Replacing:

[tex]6 \frac{m}{s^{2} } = \frac{speed}{3 seconds}[/tex]

Solving:

speed= [tex]6\frac{m}{s^{2} }[/tex] * 3 seconds

speed= 18 [tex]\frac{m}{s}[/tex]

The motorcycle's speed after three seconds of acceleration is 18 [tex]\frac{m}{s}[/tex]