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=(10m)/(s) \\ t=4s \\ a=(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+(a\cdot t^2)/(2) \\ d=10\cdot4+(2\cdot4^2)/(2) \\ d=40+16=56m \end{gathered}`