distanceSolution:
Given that a toy car placed on the floor travels at a constant acceleration for 3 seconds reaching a velocity of 4v m/s, we have
It slows down with a constant deceleration of 0.5 m/s² for 4 seconds before hitting a wall and stopping. This is as shown below:
Thus, the velocity-time graph for the toy car is as shown below:
The total distance traveled by the toy car is evaluated by calculating the area of the triangle ABC. Thus,
![\begin{gathered} \text{Total distance traveled = }(1)/(2)*7*4 \\ =14\text{ meters} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/6tasjecvb12t0g2oxjvctxa9mxumccp6cy.png)
Hence, the