Question

Please, explain step by step.A car that’s initially traveling at 10 m/s accelerates uniformly for 4 seconds at a rate of 2 m/s2, in a straight line. How far does the car travel during this time?

Answer 1

To understand this first, analyze the conditions of the car

$\begin{gathered} v_0=\frac{10m}{s} \\ t=4s \\ a=\frac{2m}{s} \\ \\ d=\text{?} \end{gathered}$

Whit this data we have to find the distance traveled by the car in these 4 seconds

$\begin{gathered} d=v_0\cdot t+\frac{a\cdot t^2}{2} \\ d=10\cdot4+\frac{2\cdot4^2}{2} \\ d=40+16=56m \end{gathered}$