Question

An object rolls off a table top with a horizontal velocity v_0x = 3.4 m/s. The table is at a height y₀ = 0.45 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up.

1. How long, in seconds, is the object falling before it hits the floor?
2.  (b) How far, in meters, does the object land from the edge of the tabletop?
3. What is the vertical component of velocity, in meters per second, when the object hits the ground? Recall that the positive y- direction is upwards.
4. (d) What is the magnitude of the velocity (it's speed) when it hits the floor?
5. Find the angle of impact, in degrees below the horizontal.
6. Enter an expression for the height of the object y, in terms of x, v_ox: y_o, and g. This expression should not depend on the time.