2. You are experimenting with a child's spring-loaded toy rifle. The rifle fires a 50-g plastic pellet using a spring that is compressed a distance, x, of 0.100 m when the rifle is loaded (panel a). When the rifle is fired, the pellet picks up speed as it moves through the equilibrium position (panel b), then slows down as it rises to its maximum height (panel c). If the maximum height reached above the initial position of the projectile is 15.0 m, determine the spring constant. (4 marks) h a b c 3. You are practicing your softball batting skills in a batting cage. A pitching machine launches a 0.150 kg baseball leftwards towards you so that it reaches you travelling horizontally at a speed of 42 m/s, travelling horizontally. You hit the ball straight back rightwards towards the machine so that the ball is moving at 48 m/s as it leaves your bat. a) What is the impulse delivered by the bat to the ball? (2 marks) b) If the ball is in contact with the bat for 5.00 ms, what is the average force exerted by the bat on the ball? (1 mark) c) Draw a rough sketch of how the force from the bat acting on the ball might vary with time. (1 mark) d) Explain briefly why we can't solve this problem using Newton's Laws and the kinematic equations. (1 mark)