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## Homework Statement

A cart is pushed up a ramp with an initial speed v

_{0}=2.5m/s. For this problem, you may assume that the cart is frictionless and the acceleration of the cart a=gsin[tex]\theta[/tex].

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

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

## Homework Equations

v

^{2}=v

_{0}

^{2}+2a[tex]\Delta[/tex]X

manipulated to....

(v

^{2}-v

_{0}

^{2}) / (2a) = [tex]\Delta[/tex]X

## The Attempt at a Solution

A)

9.8sin(20)=3.351797

(0-(2.5)

^{2}) / (2(3.351797) = [tex]\Delta[/tex]X

[tex]\Delta[/tex]X=10.474 meters

B)

9.8sin(45)=6.9296

(0-(2.5)

^{2}) / (2(6.9296) = [tex]\Delta[/tex]X

[tex]\Delta[/tex]X=.4509 meters

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