Apark ranger wants to shoot a monkey hanging from a branch of a tree with a tranquilizing dart. the ranger aims directly at the monkey, not realizing that the dart will follow a parabolic path and thus will fall below the monkey. the monkey, however, sees the dart leave the gun and lets go of the branch to avoid being hit. will the monkey be hit anyway? does the velocity of the dart affect your answer, assuming that it is great enough to travel the horizontal distance to the tree before hitting the ground? defend your answer.

Yes it will hit the monkey

Explanation:

Here when park ranger aim the position of monkey and then shoot towards it then in this position the velocity of the dart has two components

Now when the dart reached the same horizontal distance as that the position of monkey then time taken by it

now in the same time the height of the dart is given as

here let say monkey is at height H initially then

this above equation also shows the position of monkey after t time of drop

so here dart will hit the monkey

photocells convert light energy to electricity

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.