How do the speeds v0, v1, and v2 (at times t0, t1, and t2) compare?
How do the speeds , , and (at times , , and ) compare?
a: v0 = v1 = v2 0
b: v0 = v2 v1 = 0
c: v0 = v2 v1 0
d: v0 v1 v2 0
e: v0 v2 v1 = 0
this question goes according to this picture: http://session.masteringphysics.com/problemAsset/1011764/27/1011764A-new.jpg
help?? thanks!

Question

How do the speeds v0, v1, and v2 (at times t0, t1, and t2) compare?
How do the speeds , , and  (at times , , and ) compare?
	a:  v0 = v1 = v2 > 0
	b:  v0 = v2 > v1 = 0
        c:  v0 = v2 > v1 > 0
	d:  v0 > v1 > v2 > 0
	e:  v0 > v2 > v1 = 0
this question goes according to this picture: http://session.masteringphysics.com/problemAsset/1011764/27/1011764A-new.jpg
help?? thanks!

anonymous · Answer

The answer is c. The x component of the velocity is always the same (ignoring air resistance). The only thing that changes is the y component of the velocity.

 The vertical velocity is zero at the maximum height (i.e time t1). Therefore v1>0 yet v1 is smaller than both v0 and v2

Since time t0 and t2 both correspond to the same height the vertical components of the velocity are equal. v0=v2

Therefore the answer, as I mentioned earlier, is c.