Question

A car initially traveling at 25 m/s speeds up to 60 m/s under a uniform acceleration of 5.0 m/s2 to avoid being hit by another car. How long does it take the car to speed up and get out of the way? Show your work.

Answer 1

The car takes 7 seconds to speed up and get out of the way

Step-by-step explanation:

Constant Acceleration Motion

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

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

v_f=v_o+at

Using the above equation we can solve for t:

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

The car has an initial speed of vo=25 m/s and ends up at vf=60 m/s with an acceleration of a=5
`m/s^2`.

Given all the appropriate data, calculate t:

`\displaystyle t=(60-25)/(5)`

Calculating:

`\displaystyle t=(35)/(5)`

t = 7 seconds

The car takes 7 seconds to speed up and get out of the way