Question

How to calculate y displacement in projectile mortion given the horizontal velocity

Answer 1

To calculate y displacement in projectile motion with given horizontal velocity, resolve the velocity into horizontal and vertical components, and apply kinematic equations to the vertical motion.

Step-by-step explanation:

To calculate y displacement in projectile motion, given the horizontal velocity, you need to:

1. Determine a coordinate system.
2. Resolve the velocity into horizontal (Ux) and vertical components (Uy), using the equations vx = v cos θ and vy = v sin θ, where v is the magnitude of the velocity and θ is its direction.
3. Since the horizontal velocity is given, consider vx to be constant as horizontal acceleration (ax) is 0 in projectile motion.
4. Analyze the motion in the vertical direction using kinematic equations, such as y = Uy t - ½ g t², where g is the acceleration due to gravity and t is the time of flight.
5. If additional information is provided, like the time of flight or the initial vertical velocity, use that to find y displacement.

Remember, you would generally need more information than just the horizontal velocity to fully determine the projectile's y displacement, such as the vertical velocity, time of flight, or the angle of launch.