A ball is launched from ground level. Its position was 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 θ\theta. Peak timing and height:Using your v0yv_{0y}​, predict the time to maximum height and the maximum height. Is your predicted ymax⁡y_{\max}​ consistent with the trend in the table? Explain briefly.  

Which process is best for visualizing the borders of round structures? 

                                                                                                                                                                              What would be the measured pressure of this standing individual  if measured at the level of his raised palm in mmHg?

What is the purpose of a price floor?

[BLANK-1] forces individuals and societies to make [BLANK-2] about how to allocate resources effectively.

[BLANK-1] includes government actions regarding [BLANK-2] and spending to influence the economy.

Which economic system relies primarily on government control?

Market economies are characterized by private ownership and decentralized decision-making.

The [BLANK-1] illustrates the interaction between [BLANK-2] and firms in markets.

A price ceiling encourages producers to supply more of a product.