Answer
27.5m
Work Step by Step
We first need to find the horizontal and vertical components of the velocity using trigonometry and the given angle. Looking at the picture, we can see that Vx can be found as Vx = Vcos($\theta$) where $\theta$ = 40. Therefore, Vx = 15.3m/s.
The question asks for the displacement at t = 1.8s so we can use the velocity and the time elapsed to find that the displacement is (15.3m/s)(1.8s) = 27.5m
