In dealing with the problems involving 2-D projectile motion, how are the x and y components treated? Can we still use the 1-D equations in solving different quantities? How?

From the equations of motion under constant acceleration one can derive the very handy equation for the range R of a projectile on level ground for which air resistance is negligible v sin 20 R Using g=9.8, vo = 18 m/s and 0 =45 degrees, what is the range that this equation would predict for our projectile? Give your answer in units of [m] Place the target in the simulation that far from the cannon and check if our prediction agrees. You may need to zoom out to be able to move the target that far.

Dr. L. and his cat Kepler are coming home from fishing. They ended their trip on the southbank of a 1200 m wide river, directly across from where Caroline is waiting to pick them upon the north bank. They are in identical boats that travel at 4 m/s (VB) on still water. Theriver is normally ‘lazy’ and flows with negligible velocity. On a calm day, if they pointed theboats north, they would cross the river in exactly 300s. However, today, the river is flowingdue east with a constant velocity (VW) of 1 m/s relative to the ground. Kepler, because shedoesn’t know better (she is a cat after all), has not taken this into account. Without payingattention, Kepler keeps the boat pointed due north for the entire trip. A) Relative to the ground, what is Kepler’s velocity? Derive an algebraic solution(in terms of VB and VW only) and then give a numerical answer (three significant figures isfine) expressed in degrees relative to due north (e.g. ‘42.3° west of north’).

Please solve the question in detailed, The solution must be correct. Don't use chatgpt,you have to show the diagram also.