As a science fair project, you want to launch an 800 g model rocket st raight up and hit a horizontally moving target as it passes 30 m above the launch point. The rocket engine provides a constant thrust of 15.0 N. The target is approaching at a speed of 15 m/s. At what horizontal dista nce between the target a nd the rocket should you launch

Sum the forces in the y (upward) direction

Applying the kinematic equations of linear motion we have that the displacement as a function of the initial speed, acceleration and time is

Again through the kinematic equation of linear motion that describes velocity as the change of displacement in a given time, we have to

Therefore the horizontal distance between the target and the rocket should be 38.83m

they start with the same