Answer to Question #92565 in Mechanics | Relativity for Cisco

Question

A car is moving in a straight line. The car covers 110 meters in 10 seconds and then it covers 140 meters in 10 seconds. If the acceleration is constant.
Find the initial speed of the car and the acceleration

Answer 1

Displacement of the car

$$d=v_it+\frac{at^2}{2}$$

So, we have equations

$$\left\{\begin{matrix} 110 &=&10v_i+50a \\ 250&=&20v_i+200a \end{matrix}\right.$$

Solutions

$$v_i=9.5\:\rm{m/s}, \quad a=0.3\:\rm{m/s^2}$$