# A vehicle travelling with a uniform velocity was given a uniform acceleration, and in the sixth and tenth seconds after the acceleration began it was observed to travel 15 m and 23 m respectively. What is the acceleration and the initial uniform velocity?

##### 1 Answer

Feb 17, 2018

#### Explanation:

I cannot delete my own question but I figured it out.

Using the formula below I shall derive two equations and then solve them simultaneously via substitution

First, the distance travelled in 6 seconds minus the distance travelled in 5 seconds equals the distance travelled in the sixth second

**(1)**

Second, the distance travelled in 10 seconds minus the distance travelled in 9 seconds equals the distance travelled in the tenth second

**(2)**

Substitute **(1)** into **(2)**