Question

A box moving horizontally with speed vo 1.30 m/s slides off a table that is 0.825 m high. After how much time will the box hit the floor? At what horizontal distance from the table will the box land? Part 1 of 4 Select a coordinate system and describe the path of the projectile, including initial and final positions, velocities, and accelerations. Identify the known and unknown quantities The box has an initial speed of vo 1.30 m/s and, because it is sliding horizontally when it leaves the table, an initial angle of e 0, so we have voy - 0. We know that for any projectile a, - 0 and ay 9.80 m/s2. Choosing the origin to be on the floor, direętly beneath the point where the box leaves the table, we have x 0 and yo 0.825 m. Also, because the final height of the box is at y 0, we have that Ay -y -Yo 0.825 m. Therefore, the unknown quantities to be determined are the time t it takes for the box to hit the floor and the horizontal distance Ax- x - Xo from the table to the landing point. Resolve the initial velocity vector into x and y-components and treat horizontal and vertical O horizontal motion Which of the y axis equations should be used to find the time when the box hits the floor? O none of the above

Answer 1

Vertical motion S_y = V_y + 1/2 at^2 delta Y = 0 + 1/2 gt^2 delta Y = V_y t - 1/2 gt^2