3. Two water balloons are fired simultaneously with two different initial speeds and launch angles, following the trajectories shown in the altitude (y) vs horizontal distance (x) graph depicted below. Assume that air drag can be neglected.

6. [10] During an Astros baseball game on Planet Spiro (a = -10.0 [m/s']) Jose Altuve's bat makes contact with a fast ball that he hits in the air toward the left field wall. His bat contacts the pitched ball when it crosses home plate 1.00 [m] above the ground, giving it an initial exit velocity off his bat toward left field of 32.0 [m/s] at an angle 40.0 degrees above the horizontal. The left field wall is 6.00 [m] tall and is located 96.0 m from home plate. For the conditions given above, the ball will either: (a) make it over the wall for a home run; or (b) make it to the wall but not be high enough to clear the wall; or (c) land on the field of play in front of the wall. Which is it? If it clears the wall, how high above the ground is the ball as it clears the wall? If it hits the wall, how high above the ground is the ball when it hits the wall? If it lands in front of the wall, how far is the ball from home plate when it lands. Assume you can neglect air resistance and show the calculations you use to justify your answer. 7.[6] A car starts from rest and accelerates for 4.0 seconds at a constant acceleration until a speed of 60.0 mph is reached. It then travels at the constant speed of 60.0 mph for 10.0 seconds, after which it begins to brake, decelerating from 60.0 mph to zero in 8.0 seconds. Sketch (a) a position vs time graph, (b) a velocity vs time graph, and (c) an acceleration vs time graph for this case. a) b ) v 1 x c) a X 60 -5. [20] As shown in the diagram below, vector A has a magnitude of 8.0 units and is directed at an angle 30.0 degrees above the positive x-axis., while vector B has magnitude 6.0 units and is directed 60 degrees above the negative x-axis. a) On the figure below, sketch the length and orientation of the vectors B + A, and B - A B A 6.0 - V (b) Using the component method rajculate the x- and y- components of the vectors A, B, B+ A ,and B- A. 0 = tan " (Ay ) * = (8.0) + (6.0) 8.0 tan-1 6.0 ) = 36.87 = 37 * : 100 10 (c) Calculate the magnitude and direction angle of the vector B+ A. X x : NAX . Ay tan . 1 ( -6.0 80 1: - 36.87 -37 x = (-6.0)4 (8,0)" * = 10 (d) Calculate the magnitude and direction angle of the vector #- A.8. [14] In the absence of air resistance a ball is projected horizontally from a height h above the ground with an initial velocity var in the positive x-direction and no initial velocity in the y-direction. (a) Sketch a position vs time graph for the vertical (y) component of the ball's location. X (b) Sketch a velocity vs time graph for the y-component v, of the ball's velocity. X C [c] Sketch an acceleration vs time graph for the y-component a, of the ball's acceleration. X P [d] Sketch a position vs time graph for the horizontal x-component of the ball's location. O [e] Sketch a velocity vs time graph for the x-component v. of the ball's velocity. O [f] Sketch an acceleration vs time graph for the x-component a, of the ball's acceleration.a O x " / [g] Sketch a y-position vs x-position graph of the ball's trajectory. O X y9. [5] An airplane regularly makes a straight back and forth, east-west round trip between two cities, always travelling at the same airspeed (i.e., the same speed relative to the air it is flying through). When there is no wind the usual time for the round trip is 3.0 [hours]. Suppose, however, that the plane experiences a steady tailwind blowing from west to east as it flies eastward and then flies into the same west to east wind as a headwind on its westward return flight. For this case, will the round trip travel time be more, less, or the same as the round trip time when there is no wind? Explain your answer. The airplane makes to turn back and 3 a More travel time forth in the east - west round trip between two [b] Less travel time cities had more than 3.0 hours. [c] Same travel time [d] Not enough information. It depends on the relative values of the wind and airspeed. Explanation ?Equations Kinematic equations *=* + V D- ( V.tv) 2 V= V. + at x=x +uf+-at (v2 -v2)=2a(x-x.) range = to since)cos expression for projectile range on level ground Magnitude A & direction 0 of a vector with components Ax and Ay A = JA'+ A; 0 = tan g=9.8 [m/s] Acceleration of gravity near surface of Planet Earth a = 10.0 [m/s?] Acceleration of gravity near surface of Planet Spiro 0 cos (0) = adjacent / hypotenuse sin (@) = opposite / hypotenuse tan (0)= opposite / adjacent