Astudent standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 24 m/s at an angle θ = 21 ° below horizontal. the stone moves without air resistance; use a cartesian coordinate system with the origin at the stone's initial position.
part (a) with what speed, vf in meters per second, does the stone strike the ground 50%
part (b) if the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal would its impact velocity be different? yesno grade summary 0% 100% potential

a) Vf = 27.13 m/s

b) It would have been the same

Explanation:

On the y-axis:

Solving for t:

t1 = 0.67s     t2= -2.4s

Discarding the negative value and using the positive one to calculate the velocity:

So, the module of the velocity will be:

If you throw it above horizontal, it would go up first, and when it reached the initial height, the velocity would be the same at the throwing instant. And starting then, the movement will be the same.

an obstruction

the journeys of marquette, joliet and la salle a) new france expand.

all three of these explorers explored the midwest and the area around the great lakes, which they subsequently claimed for france.

this was a big portion of territory and expanded new france which before then only consisted of quebec province in northeastern canada