For the situation shown in Figure 3.10, find the speed of package B and the direction of the velocity vector just before package B hits the ground.

Reasoning  Since the speed v of the package is given by it is necessary to know values for v_x and v_y at the instant before impact. The component v_x is constant and has a value of 115 m/s. The component v_y can be determined by using Equation 3.3b and the data from Example 2 (a_y=–9.80 m/s², v_0y=0 m/s, t=14.6 s). Thus, we expect that the final speed v of package B will be greater than 115 m/s.

Problem solving insight The speed of a projectile at any location along its path is the magnitude v of its velocity at that location:. Both the horizontal and vertical velocity components contribute to the speed.

Solution From Equation 3.3b, it follows that