In: Physics
Imagine an example of projectile motion in which the launch angle is 30o above the horizontal, the launch position is 3 m above the ground, and the launch speed is 15 m/s. Where could you place a target on the ground so that it will “catch” the projectile when it lands?
Initial velocity of projectile is
Initial horizontal velocity of projectile is
Initial vertical velocity of projectile is
Initial height of projectile is
The projectile lands on ground , horizontal distance traveled is and vertical distance traveled is
Using
In the vertical direction ( since )
In this time the horizontal distance traveled by projectile is .
In the horizontal direction, ( since )
Target must be placed at distance