Question

How long will it take a cyclist to accelerate to 12 m/s starting from rest if he rides with an average acceleration of 1.2 m/s^2?

"using acceleration formula"

Answer 1

The cyclist takes 10 seconds to accelerate to 12 m/s.

Step-by-step explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

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

`v_f=v_o+at`

Solving for t:

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

The cyclist starts from rest (vo=0) and moves at vf=12 m/s with an acceleration
`a=1.2\ m/s^2`.

Calculate the time:

`\displaystyle t=(12-0)/(1.2)`

`\displaystyle t=(12)/(1.2)`

`\boxed{t=10\ sec}`

The cyclist takes 10 seconds to accelerate to 12 m/s.