16. At t = 0, a stationary police car is passed by a speeding sports car. This occurs on a straight highway. Their subsequent velocities are shown in a v-f graph. Use the graph to solve the following problems. Be organized! [10] (a) Prove that the police car overtakes the sports car when t = 60 s. (b) Determine the average velocity at which the police car travels during this 60 s time interval. (c) Find the distance between the two cars when t = 30 s. (d) Find the acceleration of the sports car when f = 30 s. v[m/s) 40 30 20 sports car 10 police car t(s) 0 30 60 90 Part D Application [20 marks] 15. A medieval prince trapped in a castle wraps a message around a rock and throws it from the top of the castle wall with an initial velocity of 42.7m/s [37 above the horizontal]. The rock lands just on the far side of the castle's moat, at a level 9.5 m above the initial level. Draw a digram of situation. Determine the width of the moat and velocity of impact. [10] 15. A 200m wide river flows at 0.80 m/s. A girl swims across it at 1.33 m/s relative to the water. Draw a diagram,be organized. (a) What is the least time she requires to cross the river? (b) How far downstream will she be when she lands on the opposite shore? (c) At what angle to the shore would she have to aim, in order to arrive at a point directly opposite the starting point? (d) How long would the trip in part (c) take? [7 marks] Part C Thinking & Inquiry [TI] Full Solution required. [15 marks] 14. A baseball, thrown from shortstop position to first base, travels 32.0 m horizontally, it rises 2.5 m, and falls 2.5 m. Draw a diagram of situation [2] Find the initial velocity of the ball. (Mag & angle) Show work. Explain what you are doing [8] 13. Relief packages are dropped from airplanes to the ground below. What considerations must be taken into account in order for the packages to hit their targets? Explain how a pilot can determine the correct timing for the release of the packages. [3]