Please plot in Python and show code

Questions are largely from Taylor, Chapter 3. Please show all your work and write legibly for full credit! As always, if you have any questions please don't hesitate to ask. 3.4 - Conservation of Hobos Remember what we discussed in class about relative velocities and how they relate to one another. For part b, when you need to compare which is faster, feel free to just pick some numbers for your constants and then plug them in. It can be easier than doing the algebra to show which case is faster. 3.12 - Some multistage rocket antics Getting Fragged: A one kilogram grenade is thrown upwards at 22 m/s at an angle of 60 with the positive x-axis. Two seconds into its flight, while traveling at speed y, it explodes into three chunks. The first chunk is 600 g and leaves at speed v + Av, where Av1 = 10 + 5 m/s. The second is 250 g and leaves at speed v+Av2 where Av2= (-15, 10 m/s. You can assume no mass is lost in the explosion and that the axes are defined as per the below image. 1. What is Avz? V3 = -15x-36.66677 2. Plot the path of the original grenade and then all 3 projectiles. 3. Include on your plot the trajectory of the center of mass of all three particles as well. How does the center of mass trajectory compare to the original grenade's trajectory? Is this what you would expect? 4. Determine how far from the launch point each of the 3 pieces lands. Questions are largely from Taylor, Chapter 3. Please show all your work and write legibly for full credit! As always, if you have any questions please don't hesitate to ask. 3.4 - Conservation of Hobos Remember what we discussed in class about relative velocities and how they relate to one another. For part b, when you need to compare which is faster, feel free to just pick some numbers for your constants and then plug them in. It can be easier than doing the algebra to show which case is faster. 3.12 - Some multistage rocket antics Getting Fragged: A one kilogram grenade is thrown upwards at 22 m/s at an angle of 60 with the positive x-axis. Two seconds into its flight, while traveling at speed y, it explodes into three chunks. The first chunk is 600 g and leaves at speed v + Av, where Av1 = 10 + 5 m/s. The second is 250 g and leaves at speed v+Av2 where Av2= (-15, 10 m/s. You can assume no mass is lost in the explosion and that the axes are defined as per the below image. 1. What is Avz? V3 = -15x-36.66677 2. Plot the path of the original grenade and then all 3 projectiles. 3. Include on your plot the trajectory of the center of mass of all three particles as well. How does the center of mass trajectory compare to the original grenade's trajectory? Is this what you would expect? 4. Determine how far from the launch point each of the 3 pieces lands