The particle travels along the path described as the path of a parabola y = 0.25x2. If the components of velocity along the y-axis is vy = t2 ft/s where t is in seconds, determine the particle's distance from the origin O when t = 1s.
1) 2.5 ft
The particle's vertical
component is vy = t2 ft/s,so integrating the equation
from time zero to t seconds
So, the particles distance from the origin is 1.20 ft.