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

Answer:

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

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:

$\displaystyle t=\frac{v_f-v_o}{a}$

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:

$\displaystyle t=\frac{12-0}{1.2}$

$\displaystyle t=\frac{12}{1.2}$

$\boxed{t=10\ sec}$

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