Maddy hits a golf ball up into the air with an initial velocity of (20m/s, 49m/s).

Record the horizontal velocity, & vertical velocity at each second for 10 seconds.

To record the horizontal and vertical velocities at each second for 10 seconds, we can break down the initial velocity into its horizontal and vertical components and then analyze the motion of the ball.

Given that the initial velocity is (20 m/s, 49 m/s), we can separate it into horizontal and vertical components as follows:

Horizontal Velocity (Vx): 20 m/s
Vertical Velocity (Vy): 49 m/s

To determine the velocities at each second, we need to consider that there is no acceleration acting horizontally on the ball, so the horizontal velocity remains constant throughout.

For the vertical motion, we need to consider that there is a constant acceleration acting due to gravity. The acceleration due to gravity is approximately 9.8 m/s², and it acts downward in the negative vertical direction.

Using these values, we can calculate the vertical velocity (Vy) at each second using the equations of motion:

Vy = Vy_initial + (acceleration due to gravity) * time

Now, let's calculate the horizontal and vertical velocities at each second for 10 seconds:

At t = 0 seconds:
Horizontal Velocity (Vx) = 20 m/s
Vertical Velocity (Vy) = 49 m/s

At t = 1 second:
Horizontal Velocity (Vx) = 20 m/s (remains constant)
Vertical Velocity (Vy) = 49 m/s + (-9.8 m/s²) * 1 s

At t = 2 seconds:
Horizontal Velocity (Vx) = 20 m/s (remains constant)
Vertical Velocity (Vy) = 49 m/s + (-9.8 m/s²) * 2 s

Continue this process until t = 10 seconds.

At t = 10 seconds:
Horizontal Velocity (Vx) = 20 m/s (remains constant)
Vertical Velocity (Vy) = 49 m/s + (-9.8 m/s²) * 10 s

By using this method, you can calculate the horizontal and vertical velocities of the golf ball at each second for the given time period.