Simple Problem

(Using a 'non-derived' formula, ex: vave = )

What is the distance covered by the ball from when it first hits the ground to when it knocks over the dominoes? Show your work using the area method and check with the algebraic one. (Please ignore the spikes at the beginning and end)

Method: Area Under the Line

area = b * h

area = 1.75 s * 1.303 m/s

area = 3.05 m

Check: Algebraic

d = s * t

d = 1.303 m/s * (8.67 s - 6.92 s)

d = 1.303 m/s * (1.75 s)

d = 3.05 m   

Medium Problem

(Uses one of the derived equations, e.g. v2 = u2 + 2ad)

What is the acceleration of the ball from when it hits the ground to when it knocks over the dominoes?

d = 3.05 m

u = 0 m-1

v = N/A

a = ?

t = 1.75 s

d = ut + (at2

3.05 m = (0 m/s/s)(1.75 s) + (a)(1.75 s)2

3.05 = 0 + (a)(3.0625)

3.05 = 1.53125(a)

a = 1.99 m/s/s

Advanced Problem

(Requires at least 2 steps, using either simple or derived formulas)

What is the average speed of the ball from when it hits the ground to when it knocks over the dominoes?

d = 3.05 m

u = 0 m/s

v = ?

a = 1.99 m/s/s

t = 1.75 s

v2 = u2 + 2ad

v2 = (0 m/s)2 + 2(1.99 m/s/s)(3.05 m)

v2 = 12.139

v = 3.48 m/s

vave =

vave =

vave = 1.74 m/s

Reflection

Algodoo is a program that went hand in hand with our kinematic unit. As this project required, we were challenged to create a unique simulation where we could put our speed calculations to the test. Regarding any improvements, we probably could have put more effort into making a complex scene. Instead, we kept it basic, using an intricate ramp arrangement, a spring, and a row of dominoes. Also, in terms of the assigned problems, we ignored the minimal spikes that precede and follow the more pronounced curves of the motion graph. It would have been interesting to have included those tough points in the calculations. Elevating this project to another level, we could have included an extension activity where people would be asked the speed of dominoes that follows the trigger of the ball in motion.

Something valuable that we learned during the process was how different materials can affect the actions of a certain object. For example, when we changed the ground from ice to gold, the ball rolled differently in terms of speed and acceleration, creating a distinct graph. It was interesting to analyse various graphs because that entailed more practice on how to read one. Moreover, we learned a little bit more regarding how Algodoo works. One of the coolest things we discovered was the destroy key, in which you can “destroy” an object in the middle of simulation with the press of a pre-set key.