A bаll is lаunched frоm grоund level. Its pоsition wаs sampled every 0.10 s. Assume negligible air resistance and use g=9.8 m/s2g = 9.8 text{m/s}^2g=9.8 m/s2. tt (s) 0.00 0.10 0.20 0.30 0.40 0.50 0.60 xx (m) 0.00 1.47 2.95 4.42 5.90 7.37 8.85 yy (m) 0.00 0.98 1.87 2.65 3.34 3.93 4.43 Instructions: Number your responses to match the questions and include units. Brief reasoning is sufficient. Horizontal velocity vxv_x:Estimate vxv_x from the xx data (state your method, e.g., slope of xx vs. tt). Initial vertical velocity v0yv_{0y}:Using the first three yy points, estimate v0yv_{0y}. (Show the key calculation you used.) Launch speed and angle:From your components in (1)–(2), estimate the launch speed v0v_0 and launch angle θtheta. Peak timing and height:Using your v0yv_{0y}, predict the time to maximum height and the maximum height. Is your predicted ymaxy_{max} consistent with the trend in the table? Explain briefly.