Question

X,y,z are three points on a straight road. A car passes X with a speed of 5m/s and travels from X to y with a constant acceleration of 2m/s²

Answer 1

I suppose the distance between $X$ and $Y$ is given (say, $d$ ) and the question is to find the time in which the car travelled this distance. Let $a = 2m/s^2$ be the acceleration of the car, and $v_0 = 5m/s$ its initial speed. Then the time can be found from the following kinematic equation:

$$d = v_0t + \dfrac{at^2}{2}$$

Substituting the exact value for $d$ and solving the resultant quadratic equation, one will find the time.