# Cart pushed up a ramp

1. Sep 7, 2010

### Tonik

1. The problem statement, all variables and given/known data
A cart is pushed up a ramp with an initial speed v0=2.5m/s. For this problem, you may assume that the cart is frictionless and the acceleration of the cart a=gsin$$\theta$$.

A) If the angle of the ramp is $$\theta$$=20, what is the maximum distance d that the cart will travel up the ramp?

B) If the angle of the ramp is $$\theta$$=45, what is the maximum distance d that the cart will travel up the ramp?

2. Relevant equations
v2=v02+2a$$\Delta$$X
manipulated to....
(v2-v02) / (2a) = $$\Delta$$X

3. The attempt at a solution

A)
9.8sin(20)=3.351797
(0-(2.5)2) / (2(3.351797) = $$\Delta$$X
$$\Delta$$X=10.474 meters

B)
9.8sin(45)=6.9296
(0-(2.5)2) / (2(6.9296) = $$\Delta$$X
$$\Delta$$X=.4509 meters

I was feelin' good about the first answer but the second answer seems too low... did I do these correctly?

2. Sep 7, 2010

### Tonik

Shameless bump.

3. Sep 7, 2010

### PhanthomJay

B looks good. Just check your math error in A.

4. Sep 8, 2010

### Tonik

Fixed, I have no idea how I came up with ~10 meters...
Thanks bud!