Please do 9 and 12
There are two positive roots of the equation, which means that the arrow passes the top of the building on the way up (at t = 2.1 s) and again on the way down (at t = 5.5 s). Practice Understanding Concepts 9. You throw a ball vertically upward and catch it at the height from which you released it. Air resistance is negligible. (a) Compare the time the ball takes to rise with the time the ball takes to fall. (b) Compare the initial and final velocities. (c) What is the instantaneous velocity at the top of the flight? (d) What is the ball's acceleration as it is rising? at the top of the flight? as it is falling? (e) Sketch the position-time graph, the velocity-time graph, and the accelera- tion-time graph for the ball's motion during its flight. Use [up] as the posi- tive direction. 10. Write all the equations that could be used to solve for the time interval in Sample Problem 1(b). Choose a different equation and solve for At. 11. Determine the speed at impact in the following situations. Air resistance is negligible. (a) A seagull drops a shellfish onto a rocky shore from a height of 12.5 m to crack the shell. (b) A steel ball is dropped from the Leaning Tower of Pisa, landing 3.37 s later. 12. A steel ball is thrown from the ledge of a tower so that it has an initial velocity of magnitude 15.0 m/s. The ledge is 15.0 m above the ground. Air resistance is negligible. (a) What are the total flight time and the speed of impact at the ground if the initial velocity is upward? (b) What are these two quantities if the initial velocity is downward? (c) Based on your answers to (a) and (b), write a concluding statement. 13. Show that a free-falling ball dropped vertically from rest travels three times as far from t = 1.0 s to t = 2.0 s as from t = 0.0 s to t = 1.0 s. 14. A baseball pitcher throws a ball vertically upward and catches it at the same level 4.2 s later. (a) With what velocity did the pitcher throw the ball? (b) How high does the ball rise