## Fundamentals of Physics Extended (10th Edition)

The dart is thrown horizontally, meaning that it has no velocity in the y component, only in the x (horizontal component). However, it has acceleration in the y direction due to gravity at a = -9.81 $m/s^2$ We can use the equation: $y = y0 + v_{0y}t + (1/2)a_{y}t^2$ We can rewrite this as $\Delta y = v_{0y}t + (1/2)a_{y}t^2$ we know that $v_{0y}$ = 0 as discussed above and a = -9.81$m/s^2$ and the dart takes 0.19 seconds to hit the board (t = 0.1) so $\Delta y = (1/2)(-9.81)(0.19)^2 = 0.18m$ This is how far the dart will drop from the horizontal while it is in flight, and therefore, it is the length of PQ