Problem $1$: Simulating Projectile Motion Imagine a particle launched into the air, influenced by gravity and, in some cases, by air resistance. In this simulation, you$$ll model the particle$$s motion as it travels and eventually collides with the ground, observing how its path changes across three environments: Earth, Mars, and the Moon. The particle begins at an initial position $($x$0,$ y$0)=(0,0)$ with a specified initial velocity and launch angle. The simulation will continue until the particle collides with the ground $($y $=0),$ at which point it will undergo an inelastic bounce. This means it will reverse direction and lose some of its upward speed, simulating a $$real$-$world$$ bounce.Problem $1$: Simulating Projectile Motion Imagine a particle launched into the air, influenced by gravity and, in some cases, by air resistance. In this simulation, you$$ll model the particle$$s motion as it travels and eventually collides with the ground, observing how its path changes across three environments: Earth, Mars, and the Moon. The particle begins at an initial position $($x$0,$ y$0)=(0,0)$ with a specified initial velocity and launch angle. The simulation will continue until the particle collides with the ground $($y $=0),$ at which point it will undergo an inelastic bounce. This means it will reverse direction and lose some of its upward speed, simulating a $$real$-$world$$ bounce.Problem $1$: Simulating Projectile Motion Imagine a particle launched into the air, influenced by gravity and, in some cases, by air resistance. In this simulation, you$$ll model the particle$$s motion as it travels and eventually collides with the ground, observing how its path changes across three environments: Earth, Mars, and the Moon. The particle begins at an initial position $($x$0,$ y$0)=(0,0)$ with a specified initial velocity and launch angle. The simulation will continue until the particle collides with the ground $($y $=0),$ at which point it will undergo an inelastic bounce. This means it will reverse direction and lose some of its upward speed, simulating a $$real$-$world$$ bounce.