ideasrule said:Gravity acts downwards, so it can't change the ball's horizontal speed. It's still 10 m/s on impact. As for vertical speed, can you find a kinematic equation that relates acceleration, distance traveled, initial speed, and final speed?
Projectile motion is the motion of an object that is thrown or launched into the air, moving in a curved path under the influence of gravity. It is different from regular motion because the object is subject to both horizontal and vertical forces at the same time, resulting in a parabolic trajectory.
The initial velocity and angle for a projectile can be calculated using the equations v0 = vxcosθ and v0 = vysinθ, where vx and vy are the horizontal and vertical components of the initial velocity and θ is the launch angle.
The trajectory of a projectile is affected by the initial velocity, launch angle, air resistance, and the force of gravity. Other factors such as wind and air density can also have an impact.
Numerical methods, such as the Euler method or the Runge-Kutta method, can be used to solve projectile motion problems by approximating the position and velocity of the object at different points in time. These methods involve breaking down the motion into small time intervals and using iterative calculations to determine the position and velocity at each interval.
Yes, for example, if a ball is thrown from ground level with an initial velocity of 20 m/s at an angle of 45 degrees, and we want to determine its position after 2 seconds, we can use the Euler method to approximate its position at different time intervals. Using a step size of 0.1 seconds, we can calculate the position of the ball at t=2 seconds to be approximately 31.2 meters from its starting point.