1 5 pointssercpio 3p023nve A student stands at the edge of a

1. -/5 pointssercpio 3.p.023.nve A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of Vo 23.0 m/s. The cliff is h 22.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? Xo =|(No Response) m Yo-(No Response) m (b) What are the components of the initial velocity? Vox =|(No Response) m/s Vor (No Response) m/s Voy (No Response) m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) Vx (No Response) Vy(No Response) (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x = (No Response) y (No Response)

Solution

Horizontal velocity vo =23 m/s

Height h = 22 m

(a). xo = 0

     yo = h = 22 m

(b).Vox = vo

           = 23 m/s

    Voy = 0

(c).X component of velocity at time t is Vx = vo

Since there is no force along horizontal direction.So, horizontal velocity remians constant.

Y component of velocity at time t is Vy = Voy+ at

                                                         = 0 + gt

                                                         = gt

(d).X component of position is = vo t

Y component of position =(voy)t + (1/2)gt ²

                                    = 0 +(1/2)gt ²    Since voy = 0

                                    = (1/2)gt ²