(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A ball rolls up a straight incline. The dots in the diagram represent the position of the ball every 4 seconds.

(The fourth dot is not intended to represent the turnaround point; the ball might still be on the way up at that

point.) The instantaneous velocities at the second and third dots are as given in the diagram.

a. Determine the velocities at the locations of the first and fourth dots and label them on the diagram. (2 points)

b. Determine how far the ball travels between the second and third dots. (3 points)

c. Determine the total time it takes the ball to roll up the incline, from the bottom to the turnaround point.

3. The attempt at a solution

Part A:

Equations:

Vf=Vi+a(delta T)

aavg=D=(delta V)/(delta T)

VDot 2=7m/s

VDot 3=5m/s

aavg=(5m/s-7m/s)/(8s-4s)=-.5m/s2

VDot 2=VDot 1+(-.5m/s/s)(4s-0s)

VDot 1=9m/s

VDot 4=VDot 3+(-.5m/s/s)(12s-8s)

VDot 4=3m/s

Part B:

Equation:

vf2=vi2+2a(delta x)

52=72+2(-.5m/s/s)(delta x)

(Delta x)=24m

Part C:

Equation:

vf=vi+a(delta T)

vf=0m/s

vi=9m/s

a=-.5m/s/s

(delta T)=?

0m/s=(9m/s)+(-.5m/s/s)(delta T)

(delta T)=18s

Please check thank you!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Incline Plane ball rolling up

**Physics Forums | Science Articles, Homework Help, Discussion**