Halliday, Resnick & Walker — Motion in Two and Three Dimensions: Problem 95

Figure 4.33 shows the straight path of a particle across an \(xy\) coordinate system as the particle is accelerated from rest during time interval \(\Delta t_1\). The acceleration is constant. The \(xy\) coordinates for point \(A\) are \((4.00 \text{ m}, 6.00 \text{ m})\); those for point \(B\) are \((12.0 \text{ m}, 18.0 \text{ m})\). (a) What is the ratio \(a_y/a_x\) of the acceleration components? (b) What are the coordinates of the particle if the motion is continued for another interval equal to \(\Delta t_1\)?