Question

A car traveling at 7 m/s accelerates at 2,5 m/s2 to reach a speed of 12 m/s. How long

does it take for this acceleration?

Answer 1

The car took 2.5 seconds for this acceleration

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 car was traveling at v0=7 m/s, accelerated at 2.5 m/s^2, and reached a speed vf=12 m/s. Calculating the time taken:

`\displaystyle t=(12-7)/(2.5)`

`\displaystyle t=(5)/(2.5)`

t=2 sec

The car took 2 seconds for this acceleration