Question #fefc4

Question

1302 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-12T16:36:35

No, it does not go over the wall

The key is to find the time of flight and use the idea that this is common to both horizontal and vertical components of motion.

The horizontal component of the velocity is given by:

#sf(V_x=vcostheta=45/t)#

#:.##sf(t=45/(vcostheta)=45/(22cos45)=2.89" "s)#

Now we consider the vertical component:

We can use:

#sf(s=ut+1/2at^2)#

Using the convention "up is +ve" this becomes:

#sf(s=vsinthetat-1/2"gt"^2)#

#:.##sf(s=22sin45xx2.89-1/2xx9.81xx2.89^2)#

#sf(s=44.96-40.96=4.0color(white)(x)m)#

You can see that it will not make it over the wall.