Question

A car is initially at rest. ten seconds later it is moving 30 m/s. what is the car's acceleration

Answer 1

The car's acceleration is
`3\ m/s^2`

Step-by-step explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes uniformly over time.

The final speed is given by:

`v_f=v_o+at`

Where a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

Using the equation above we can solve for a:

`\displaystyle a=(v_f-v_o)/(t)`

The car is initially at rest (vo=0) and t=10 seconds later it's moving at vf=30 m/s, thus its acceleration is:

`\displaystyle a=(30-0)/(10)`

`\displaystyle a=(30)/(10)=3`

`a = 3\ m/s^2`

The car's acceleration is
`3\ m/s^2`