In Fig. 4-48a, a sled moves in the negative x direction at constant speed vs while a

Chapter 4, Problem 84

(choose chapter or problem)

In Fig. 4-48a, a sled moves in the negative x direction at constant speed \(v_{s}\) while a ball of ice is shot from the sled with a velocity \(\vec{v}_{0}=v_{0 x} \hat{i}+v_{0 y} \hat{\jmath}\) relative to the sled. When the ball lands, its horizontal displacement \(\Delta x_{b g}\) relative to the ground (from its launch position to its landing position) is measured. Figure 4-48b gives \(\Delta x_{b g}\) as a function of \(v_{s}\). Assume the ball lands at approximately its launch height. What are the values of

(a) \(v_{0 x}\) and

(b) \(v_{0 y}\)? The ball’s displacement \(\Delta x_{b s}\) relative to the sled can also be measured. Assume that the sled’s velocity is not changed when the ball is shot. What is \(\Delta x_{b s}\) when \(v_{s}\) is

(c) 5.0 m/s and

(d) 15 m/s?