Launch an 950 g model rocket straight up and hit a horizontally moving target as it passes 33.0 m above the launch point. The rocket engine provides a constant thrust of 20.0 N . The target is approaching at a speed of 18.0.At what horizontal distance between the target and the rocket should you launch?

is the horizontal distance between the rocket and the target when the rocket should be launched.

Explanation:

Given:

Now the acceleration of the rocket:

Since this acceleration is acting against the gravity therefore there will be a lesser effective acceleration of the rocket:

Now the time taken by the rocket to reach the height of 33 m:

where:

initial velocity of the rocket

Now the distance covered by the target in the above time when the rocket has reached the  height of the target:

is the horizontal distance between the rocket and the target when the rocket should be launched.

the answer for apex is the lowest