Question

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?

Answer 1

The motorcycle's speed after three seconds of acceleration is 18
`(m)/(s)`

Step-by-step explanation:

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
`(m)/(s^(2) )`. This is expresed as:

`acceleration= (change in speed)/(time)`

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=
  `6(m)/(s^(2) )`
• speed=?
• time= 3 seconds

Replacing:

`6 (m)/(s^(2) ) = (speed)/(3 seconds)`

Solving:

speed=
`6(m)/(s^(2) )` * 3 seconds

speed= 18
`(m)/(s)`

The motorcycle's speed after three seconds of acceleration is 18
`(m)/(s)`