# A car's begin speed is 70 km/h and it accelerates with 6000 km/#h^2# . How many seconds does it take to get from 70 km/h to 120 km/h and what distance did the car need ?

##### 1 Answer

Sep 27, 2017

The speed increase required 72 seconds and 1.9 km.

#### Explanation:

**We can determine the time** using the suvat formula

Plugging in the known data and solving for t

Converting to seconds:

**We can determine the distance** using the suvat formula

Notice that this formula calculates the average velocity and multiplies by time. This is legitimate only because the acceleration is constant throughout.

Plugging in the known data

I hope this helps,

Steve