A cannon ball is shot from a cannon with a horizontal velocity of 200m/s. What is the time until impact on a target 50m downrange? What is the objects horizontal velocity at impact (ignoring air resistance)?
The horizontal velocity component does not change.
You need to specify the elevation angle, above the horizon, of the shot. If it is shot horizontally from the ground, it rolls to the target. Not good.
To find the time until impact, we can consider the horizontal motion of the cannonball. Since there is no acceleration in the horizontal direction (ignoring air resistance), the horizontal velocity remains constant.
The horizontal distance traveled by the cannonball is 50 meters. We know the horizontal velocity is 200 m/s. By applying the formula distance = velocity × time, we can rearrange the formula to solve for time:
Time = Distance / Velocity
Time = 50 meters / 200 m/s
Time = 0.25 seconds
Therefore, it will take 0.25 seconds for the cannonball to reach the target.
Next, since the horizontal velocity of the cannonball remains constant throughout its trajectory, the horizontal velocity at impact will also be 200 m/s.